# Can you form a right triangle with the three lengths given: 5 cm, 12 cm, 13 cm?

Oct 23, 2016

Yes, we can.

#### Explanation:

Yes, we can.

When three sides of a triangle are given,

find the sum of squares of smaller two sides, and

square of largest side.

If square of largest side is equal to the sum of squares of smaller two sides, the triangle is right angled.

Here as ${13}^{2} = 169$ and ${5}^{2} + {12}^{2} = 25 + 144 = 169$ and two are equal, we can form a right angled triangle.

Note - if square of largest side is greater than the sum of squares of smaller two sides, the triangle is obtuse angled and if square of largest side is less than the sum of squares of smaller two sides, the triangle is acute angled.