Question

Using converse of Pythagoras theorem, check whether the sides form a right angled triangle $63,65$ and $16$?

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.

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

$\therefore {63}^2+{16}^2={65}^2$

$\Rightarrow {63}^2+{16}^2\Rightarrow 3969+256=4225$

$\Rightarrow {65}^2=4225$

$\therefore 4225=4225$

Hence, the given sides form a right angled triangle.