Question

Find the value of each variable. If you answer is not an integer, express it in simplest rauitar

Also find the perimeter of the triangle.

Answer 1

This is one of the special right triangles known as a 30, 60, 90 triangle. (Characterized by its angles)

In these triangles, the shortest leg is HALF the length of the hypotenuse.

The longest leg is (√3) times the length of the short leg.

Therefore, the shortest leg is 20, and the longest leg is 20(√3)

FINAL ANSWER:

SHORT LEG: 20 units

LONG LEG: 20√3 units