Chapter 0.7, Problem 13E

To determine

To evaluate: if triangle is a right triangle.

Answer to Problem 13E

The given sides are not of right angle triangle.

Explanation of Solution

Given information:

  $a=11ft,b=12ft,c=16ft$

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

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ {11}^2+{12}^2={16}^2\\ 121+144=256\\ 265\ne 256\end{array}$

So,

The above sides doesn’t satisfy Pythagoras theorem, which suggests that it is not a right angle triangle.