Question

if one angle of a triangle is equal to the sum of other two. show that the triangle is a right triangle​

Answer 1

Answer:

First you have to draw a simple triangle in your notebook. Δ

let the angles of the triangle are <A, <B, <C respectively.

and <A = <B + <C

also <A+<B+<C=180°

=> (<B+<C)+<B+<C=180°(by putting value of <A)

=> 2(<B+<C) = 180°

=> <B+<C = 180°/2 = 90°

=> <A=90°

as one angle of triangle is right angle

so the triangle is a right triangle.

hence proved.

hope you will understand my answer.