Question

If the sides of a triangle are in the ratio 3:4:5.prove that it is right angle triangle

Answer 1

Hi ,

Let a , b , c are three sides of a

triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

By convers of Phythagoruas Theorem ,

a , b , c forms a right angled Triangle.

I hope this helps you.