Question

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

Answer 1

hey

Let "a" be the measure of the angle A;

Let "b" be the measure of the angle B;

Let "c" be the measure of the angle C.

 

Then

 

a + b + c = 180,    (1)

a + b      = c.     (2)   (given).

 

Add the equation (1) and (2). You will get

 

2(a+b) + c = 180 + c.

 

Simplify:

 

2(a+b) = 180  --->  a + b = 180/2=90