Question

Using figure at the right, find:
1. BS
2. RS
3. ST

Answer 1

1. BS = 4

2. RS = 2√5

3. ST = 4√5

Explanation:

Use the right triangle altitude theorem.

Then use the Pythagorean Theorem.

1.

BT/BS = BS/BR

8/BS = BS/2

(BS)² = 16

BS = 4

2.

2² + 4² = (RS)²

RS = √(20)

RS = 2√5

3.

4² + 8² = (ST)²

ST = √(80)

ST = 4√5