Chapter 0.7, Problem 11E

To determine

To evaluate: if triangle is a right triangle.

Answer to Problem 11E

The given sides are of right angle triangle.

Explanation of Solution

Given information:

  $a=9m,b=12m,c=15m$

Applying Pythagoras theorem to check if the triangle is right triangle,

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ 9^2+{12}^2={15}^2\\ 81+144=225\\ 225=225\end{array}$

So,

The above sides does satisfy Pythagoras theorem, which suggests that it is a right angle triangle.