### Home > AC > Chapter 14 > Lesson 14.2.1.8 > Problem2-113

2-113.

The right triangle shown below has a height of $8$ cm and an area of $60$ square cm. Complete parts (a) and (b) below, referring to the Math Notes box in Lesson 1.2.1 for further guidance, if necessary.

1. Find the measure of ∠A to the nearest tenth.

Start by finding the length of the base of the triangle.

Use the tangent ratio to find the measure of angle $A$.

$m∠A ≈ 28.07$

2. Find the perimeter of the triangle.

Use the Pythagorean Theorem to find the length of the hypotenuse.

$\text{Perimeter }= 40 \text{ cm}$