Question

Referring to the figure, find the unknown
length. Write your answer in simplest form.

Answer 1

Explanation:

Comment

This is a Pythagorean problem. That means it follows the rule of

c^2 = a^2 + b^2

Givens

c = 12

a = ?

b = 8

Solution

12^2 = a^2 + 8^2 Simplify

144 = a^2 + 64 Subtract 64 from both sides

80 = a^2 Take the square root of both sides.

√80 = √a^2

a = 4*√5

Note:

I think the answer I've given is the simplest form The decimal form is

a = 8.94