Question

Using converse of Pythagoras theorem, check whether the sides form a right angled triangle $13,15$ 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.

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

$\therefore {13}^2+{15}^2={16}^2$

$\Rightarrow {13}^2+{15}^2\Rightarrow 169+225=394$

$\Rightarrow {16}^2=256$

$\therefore 394\ne 256$

Hence, the given sides does not form a right angled triangle.