Question

Check whether the sides form a right angled triangle $65,72$ and $97$? (Apply Converse of Pythagoras theorem).

Answer 1

According to the Pythagoras theorem-In a right angle triangle square of the hypotenuse is equals to the sum of the square of the other two sides.

$\Rightarrow a^2+b^2=c^2$

$\therefore {65}^2+{72}^2={97}^2$

$\Rightarrow {65}^2+{72}^2\Rightarrow 4225+5184=9409$

$\Rightarrow {97}^2=9409$

$\therefore 9409=9409$

Hence, the given sides form a right angled triangle.