Chapter 8.3, Problem 4WE

To determine

Whether the given sides are the sides of acute, right or obtuse angle triangle.

Answer to Problem 4WE

The given sides of the triangle are the sides of right angle triangle.

Explanation of Solution

Given information:

The given sides of triangle are 6, 6, $6\sqrt{2}$ .

Let ABC be a triangle.

Also let a=6, b=6 and c= $6\sqrt{2}$

  $\begin{array}{l}{c}^2=a^2+b^2\\ $ {(6\sqrt{2})}^2=6^2+6^2$72=36+36\\ 72=72\end{array}$

Therefore from the converse of Pythagoras theorem $\angle C=90°$

So, the given sides of the triangles are the sides of right angle triangle.