Examine the triangle at right.. 

1. What is the perimeter of the triangle?

   Hint (a):

   Use the Pythagorean Theorem.

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

   Hint (b):

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

   Step 1(b):

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

   

   Step 2(b):

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

   Answer 1(b):

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

   Answer 2(b):

   By the Triangle Angle Sum Theorem, $a$ must be
   $\approx32.9^\circ$