Question

If in a triangle, square of one side is equal to the sum of the squares of the other two sides. What is the angle opposite to the longest side?

• A. ${60}^o$
• B. ${30}^o$
• C. ${90}^o$
• D. ${120}^o$

Answer 1

The correct option is C ${90}^o$

Let the sides of triangle be $h,p$ and $b$.
As per the given question
$h^2=p^2+b^2$ ....(Pythagoras Theorem)
So, the longest side is the hypotenuse.

In a right-angled triangle, angle opposite to hypotenuse is ${90}^0$.

So, option $C$ is correct.