Question

8. If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right
triangle

Answer 1

Answer:

angles of right angled triangle= 90 , 45 ,45

90+45+45=180

45+45=90

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Answer 2

Answer:

Consider ABC as a triangle According to the question it can be written as ∠A = ∠B + ∠C ….. (1) We know that the sum of all the angles in a triangle is 180o. So we can write it as ∠A + ∠B + ∠C = 180o By substituting ∠A in the above equation ∠B + ∠C + ∠B + ∠C = 180o 2 (∠B + ∠C) = 180o By division ∠B + ∠C = 180/2 ∠B + ∠C = 90o According to equation (1) we can write it as ∠A = 90o Therefore, it is proved that the triangle is right angledRead more on Sarthaks.com - https://www.sarthaks.com/717378/if-one-angle-triangle-is-equal-to-the-sum-the-other-two-show-that-the-triangle-is-right-angled