Chapter 9.4, Problem 22PSB

To determine

To find:The triangle is acute, right or obtuse.

Answer to Problem 22PSB

The both triangles are classified as obtuse triangles.

Explanation of Solution

Given information:

Two triangles with different sides.

  

If sum of square of two sides is greater than largest side, the triangle is acute.

If sum of square of two sides is equal to square of largest side, the triangle is right.

If sum of square of two sides is lesser than square oflargest side, the triangle is obtuse.

In Figure 1,

  $\begin{array}{l}{6}^2+7^2<{10}^2\hfill \\ 85<100\hfill \end{array}$

Therefore, the triangle is obtuse.

In Figure 2,

  $\begin{array}{l}{3}^2+5^2<{10}^2\hfill \\ 34<100\hfill \end{array}$

Therefore, the triangle is obtuse.