### Home > A2C > Chapter 2 > Lesson 2.1.8 > Problem 2-113

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. Homework Help ✎

Find the measure of ∠

*A*to the nearest tenth.Find the perimeter of the triangle.

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

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

Perimeter = 40 cm