Question

Check whether the following can be the sides of a right triangle?
$2.5cm,6.5cm,6cm$

Answer 1

In case of the right-angled triangle, sum of the squares of the two side of triangle will be equal to the square of third side,(which is longest).

Also, the sides of Right-angled triangle will be Pythagorean triplet.

i.e, $a^2+b^2=c^2,\text{where a, b, c are sides of a triangle}$

${2.5}^2=6.25$

$6^2=36$

${2.5}^2+6^2=6.25+36=42.25$

${6.5}^2=42.25$

$\therefore {2.5}^2+6^2={6.5}^2$

Hence the given sides can form a right angle triangle.