Chapter 0.8, Problem 14E

To determine

To evaluate: if triangle is a right triangle.

Answer to Problem 14E

The given sides are of right angle triangle.

Explanation of Solution

Given information :

  $a=10yd,b=24yd,c=26yd$

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

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ {10}^2+{24}^2={26}^2\\ 100+576=676\\ 676=676\end{array}$

So,

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