### Home > INT2 > Chapter 8 > Lesson 8.1.1 > Problem8-16

8-16.
1. Examine the triangle below. Homework Help ✎

1. What is the perimeter of the triangle?

2. What is the measure of each of the acute angles in the triangle?

Use the Pythagorean Theorem.

You have learned many different trigonometry tools. Which is appropriate to the situation?

$\theta =\tan^{-1}\left (\frac{17}{11} \right ) \approx 57.1\degree$

By the Triangle Angle Sum Theorem, α must be
≈ 32.9°.

Label the acute angles, similar to those in the diagram below.

$\tan(\theta) = \frac{17}{11}$