Chapter 0.7, Problem 15E

To determine

To evaluate: if triangle is a right triangle.

Answer to Problem 15E

The given sides are of right angle triangle.

Explanation of Solution

Given information:

  $a=11km,b=60km,c=61km$

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

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ {11}^2+{60}^2={61}^2\\ 121+3600=3721\\ 3721=3721\end{array}$

So,

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