Chapter 8.3, Problem 1CE

To determine

To Identify: Identify whether the given sides are the sides of acute angle triangle, right angles or obtuse angle.

Answer to Problem 1CE

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

Explanation of Solution

Given information: We have the given of triangle are 6,8,10

Let ABC be a triangle.

Also let a = 6, b = 8 and c = 10

We see that

  $\begin{array}{l}{c}^2=a^2+b^2\\ {10}^2=6^2+8^2\\ 100=36+64\\ 100=100\end{array}$

Therefore from converse of Pythagoras theorem we must have $\angle C={90}^{°}$

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