Chapter 0.8, Problem 10E

To determine

To evaluate: if triangle is a right triangle.

Answer to Problem 10E

The given sides are not of right angle triangle.

Explanation of Solution

Given information :

  $a=5in,b=7in,c=8in$

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

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ 5^2+7^2=8^2\\ 25+49=64\\ 74\ne 64\end{array}$

So,

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