Question

How is 28,53,45 a right triangle. show my work.

Answer 1

Given:-

28,45,53 are the sides of a triangle

To Prove:-

It is a right triangle.

Proof:-

if it is obey the pythagoras theorem then by the converse these are the sides of the right triangle.

53 is the greatest side.So, it must be a hypotenuse.

from Pythagoras theorem,

adjacent ²+ opposite ²= hypotenuse ²

adjacent and opposite are nothing but the sides other than hypotenuse(=53) i.e,28 and 45.

28²+45²=53²

774+2025=2809

2809=2809

It is obeying the pythagoras theorem then by the converse of pythagoras theorem it is a right triangle.

Hence proved.

I hope it helps you