Question

Do the sides $5,12$ and $13$ form a right angled triangle?

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.

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

$\therefore 5^2+{12}^2={13}^2$

$\Rightarrow 5^2+4^2\Rightarrow 25+144=169$

$\Rightarrow {13}^2=169$

$\therefore 169=169$

Hence the given sides form a right angled triangle.