# A triangle has sides with lengths of 9 yards, 12 yards, and 15 yards. Is it a right triangle?

##### 1 Answer
Dec 1, 2016

The triangle is right angled.

#### Explanation:

As the largest side is $15$ yards and smaller sides are $9$ yards and $12$ yards

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

Square of largest side is ${15}^{2} = 225$ and squares of smaller two sides are ${9}^{2} = 81$ and ${12}^{2} = 144$.

As $225 = 81 + 144$, the triangle is right angled.