Question

If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.

Answer 1

In the given triangle, the largest side is 6 cm.

We know that in a right angled triangle, the sum of the squares of the smaller sides should be equal to the square of the largest side.

Therefore,

$3^2+4^2=9+16=25$

But, $6^2=36$

$3^2+4^2=25\ne 6^2$

Hence, the given triangle is not a right angled triangle.