Let the angles be A,B and C. If A is 90, then A+B+C=180 90+B+C=180 B+C=90 So,A>B and A>C B and C are acute angles. Answer: No. Triangle cannot have more than one obtuse angle because there are 3 side and if you add three sides it equals to 180 degree and obtuse angle is greater than 90 degree and the other two has to be less than 90 degree. So, the sum of the two sides exceeds more than 180° which is not possible. Findings: a triangle can have maximum of one obtuse angle. Equilateral triangles have three sides (and angles) that are the same. (iii) A triangle can have all angles more than 60^o . The least number of acute angles that a triangle can have is 2.As we cannot have more than one right angle or obtuse angle, we have only two or three acute angles in a triangle.Further, if one angle is acute, sum of other two angles is more than 90 deg and we cannot have two right angles or obtuse angles This is the correct answer. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. ⇒ Measure of an angle which is grater than 9 0 o is called obtuse angle. So two of the angles must be acute. (i) A triangle can have two obtuse angles. View solution. Can a triangle have 2 obtuse angles? asked Sep 18, 2018 in Class IX . Two right angles would up to 180° so the third angle becomes zero. The other two must each be less than 90 . Name the types of following triangles: L M N with m ∠ L = 3 0 o, m ∠ M = 7 0 o and m ∠ N = 8 0 o. Give reason for your answer 10. The side opposite the obtuse angle in the triangle is the longest. 2. c)it is not possible because if a triangle has a right angle that means all the angles are right angles. An equilateral triangle, which has three . An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Isosceles triangles have two sides (and angles) that are the same. In the following, state if the statement is true (T) or false (F). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. View solution. Therefore, the triangle cannot have two right angles. If a triangle had more than one right or obtuse angle, then the sum of the measures would be over 180 degrees. 2) obtuse angle of a triangle is between 90 and 180. The best source for free worksheets and distance learning. The definition of acute angle is that the range for the angle has to be 0 ∘ < α < 90 ∘. A triangle has either two or three acute angles. So, triangle can not have two right angle. View solution. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. An exterior angle of a triangle can equal one of the interior angles of the triangle. A special case is an isosceles right triangle that has tow equal sides lengths, where one angle is 90 o and the two acute angles are each of 45 o. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. The sum of angles of triangle is 180 degree. The answer is "No". So, we should enter "Option 0". >. Feb 10, 2015. a)it is not possible because the sum of the angles in the triangle cant exceed 180 degrees. Give reason. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Related questions 0 votes. Answer (1 of 14): Only one obtuse angle can be there is a triangle because we know sum of all angles of a triangle is 180. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. A right triangle has one 90 o angle and to acute angles. ⇒ If triangle have three angle, then sum of three interior angle of a triangle will be grater than 1 8 0 o and it will not satisfy property of triangle. Here are three randomly selected questions from a larger exercise, which can be edited and sent via e-mail to students or printed to create exercise worksheets. Can a triangle have 2 obtuse angles? Medium. >. View solution. A triangle cannot be right-angled and obtuse angled at the same time. 2) obtuse angle of a triangle is between 90 and 180. Therefore, the triangle cannot have two right angles. Obtuse angle are the angles whos measure are between 90° and 180° If a triangle has two obtuse angles then sum of those two angles will be. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. A triangle's angles sum to 180 degrees. Therefore, a triangle can never have more than one obtuse angle. ASSERTION : A triangle can have two obtuse angles. Medium. Solution. Step-by-step explanation: The triangle can have more than one exterior angles that can be acute or obtuse angles since the triangles angles must sum to 180 degrees. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. 60 degree. Two right angles would up to 180° so the third angle becomes zero. No, a triangle cannot have two obtuse angles Reason: the obtuse angle is greater than 90 0 Let us consider the smallest obtuse angle, i.e., 91 0 Let the two obtuse angles be equal to 91 o, so the sum of these two obtuse angles is equal to 182 0 But the sum of interior angles of a triangle is always equal to 180 0 So the given condition is not possible. In the following, state if the statement is true (T) or false (F). No. Obtuse angled triangles in real life: In . Can a triangle have a A ll angles equal b two obtuse angle? Name the types of following triangles: L M N with m ∠ L = 3 0 o, m ∠ M = 7 0 o and m ∠ N = 8 0 o. A triangle may have four vertices. Basic facts : 1) triangle is a shape having three angle made by three lines and sum of all three angles is 180. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Explore more on obtuse angled triangle at BYJU'S. Sally is correct. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. This is not possible. b)it is not possible because if a triangle has an obtuse triangle that means all the angles are obtuse angles. So, the sum of the two sides exceeds more than 180° which is not possible. Triangle cannot have more than one obtuse angle because there are 3 side and if you add three sides it equals to 180 degree and obtuse angle is greater than 90 degree and the other two has to be less than 90 degree. If a triangle had more than one right or obtuse angle, then the sum of the measures would be over 180 degrees. (ii) A triangle can have all angles equal to 60^o . How many triangles can be drawn having its angles as 4 5 ∘ , 6 4 ∘ and 7 2 ∘ ? You can find a measure of an exterior angle of a regular polygon with N sides. _____ Name one angle of the polygon. Obtuse angled triangles in real life: In . And we reach the conclusion that a triangle cannot have two obtuse angles. For example, we can have 20 ∘, 30 ∘, 130 ∘ as the angles. Find Missing Angles in Triangles and Quadrilaterals Use the fact that the angle sum of triangles is 180º and quadrilaterals is 360º to find the missing interior angle. The correct option is A. So we find that only one angle in a triangle can be . Answer: No. (ii) No, A triangle can't have two obtuse angles as obtuse angle means more than 90°. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees. Step-by-step explanation: C Can a triangle have two obtuse angles? 3 sides, 3angles, 3 vertices . By definition, the sum of angles of a triangle is 180 degrees. However, in an acute triangle, all the three angles are acute or less than 90 o. When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle. 1 answer. Since a right-angled triangle has one right angle, the other two angles are acute. ∴ (i), (iii) are wrong because the sum of all three angles should be 180 ∘. Can a triangle have= No, a triangle cannot have two obtuse angles Reason: the obtuse angle is greater than 90 0 Let us consider the smallest obtuse angle, i.e., 91 0 Let the two obtuse angles be equal to 91 o, so the sum of these two obtuse angles is equal to 182 0 But the sum of interior angles of a triangle is always equal to 180 0 So the given condition is not possible. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Step-by-step explanation: Fill in the blanks= 1. Solution. Obtuse angle are the angles whos measure are between 90° and 180° If a triangle has two obtuse angles then sum of those two angles will be. two acute angles. So two of the angles must be acute. Click hereto get an answer to your question ️ Which of the following is true? No, because the sum of three angles of a triangle is 180 degree & sum of any two obtuse angles is always more than 180 degree. Because if there are two obtuse angle in a triangle they would sum up to exceed 180 degree. between (90° + 90° ) and ( 180° + 180°) = between 180° and 360° Hence sum of all the angles of triangle would be greater than 180° Welcome to the measurement worksheets page at Math-Drills. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest. Medium. Because if there are two obtuse angle in a triangle they would sum up to exceed 180 degree. By definition, the sum of angles of a triangle is 180 degrees. The correct option is A. Explore more on obtuse angled triangle at BYJU'S. A triangle may have four vertices. 4. then classify the triangle by its angles and by its sides. The sum of the measures of the three interior angles must add up to 180 degrees. Solve the triangle 3 9 In this triangle we have two sides. Step-by-step explanation: No. ASSERTION : A triangle can have two obtuse angles. So, according to the question we should enter 0. No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°. This is not possible. Some of the worksheets for this concept are Interior and exterior angles, Angle relationship interiorexterior s1, 4 the exterior angle theorem, Relationship between exterior and remote interior angles, 6 polygons and angles, Exterior angles of a . The least number of acute angles that a triangle can have is 2.As we cannot have more than one right angle or obtuse angle, we have only two or three acute angles in a triangle.Further, if one angle is acute, sum of other two angles is more than 90 deg and we cannot have two right angles or obtuse angles First triangle:Side AB, Angle BAC, Angle BAC. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees. Therefore, a triangle can have two acute angles as the sum of those two angles becomes less than 180 ∘. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Can a triangle have two obtuse angles? Triangles can have at most one right or obtuse angle. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Only (ii) If two angles of the triangle are obtuse in a triangle, then the sum of interior angle of the triangle would become more than 180 ∘ And also, all the angles in the triangle cannnot be more than 60 ∘ because of the same reason. ∴ (i), (iii) are wrong because the sum of all three angles should be 180 ∘. The sum of the measures of the three interior angles must add up to 180 degrees. A triangle cannot be right-angled and obtuse angled at the same time. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a right-angled triangle has one right angle, the other two angles are acute. This is the correct answer. Answer: A. Findings: a triangle can have maximum of one obtuse angle. The answer is "No". Sally is correct. Basic facts : 1) triangle is a shape having three angle made by three lines and sum of all three angles is 180. The combination for the angles can be two acute angles and one obtuse angle. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. between (90° + 90° ) and ( 180° + 180°) = between 180° and 360° Hence sum of all the angles of triangle would be greater than 180° The answer is "No". Medium. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Note: Always remember that sum of angles of a triangle is always 180 ∘ .You can verify the fact that when you choose two angles the obtuse angle be 90 ∘ + x and another angle be 90 . (ii) No, A triangle can't have two obtuse angles as obtuse angle means more than 90°. This segment has various sets of pictures. Only (ii) If two angles of the triangle are obtuse in a triangle, then the sum of interior angle of the triangle would become more than 180 ∘ And also, all the angles in the triangle cannnot be more than 60 ∘ because of the same reason. Give reason for your answer 10.

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