Chapter 8.2, Problem 4BCYP

To determine

The type of the triangle.

Answer to Problem 4BCYP

Obtuse triangle.

Explanation of Solution

Given:

The given sides are:

  $2\sqrt{3},4\sqrt{2}$ and $3\sqrt{5}$ .

Calculation:

Apply Pythagorean Theorem,

  $\begin{array}{l}{\left(3\sqrt{5}\right)}^2\stackrel{?}{=}{\left(4\sqrt{2}\right)}^2+{\left(2\sqrt{3}\right)}^2\\ 45\stackrel{?}{=}32+12\\ 45\stackrel{?}{=}44\\ 45>44\end{array}$

Hence, the sides are of Obtuse triangle.