Chapter 8.4, Problem 75SPR

To determine

Whether the given sides form a triangle or not.

The type off the triangle.

Answer to Problem 75SPR

Yes

Obtuse triangle.

Explanation of Solution

Given:

The given sides are:

  $13,30,35$

Calculation:

The sum of any two sides of a triangle is more than the third side.

  $\begin{array}{l}13+30>35True\\ 30+35>13True\\ 13+35>30True\end{array}$

Using the Pythagorean Theorem,

  $\begin{array}{l}{\left(35\right)}^2\stackrel{?}{=}{\left(13\right)}^2+{\left(30\right)}^2\\ 1225\stackrel{?}{=}900+169\\ 1225>1069\end{array}$

Hence, obtuse triangle.