Question

Find the missing side length using pythagorean theorem. simplify radicals if necessary* PLEASE HELP!!

Answer 1

15

Explanation:

a^2 + b^2 = c^2

9=a

12-b

Plug in the numbers

Answer 2

The missing side length can be 15 units or -15 units. Since the length of a side cannot be negative, the missing side length is 15 units.

Steps to solve:

1. Substitute the given values into the Pythagorean theorem:

`9^2 + 12^2 = x^2`

2. Simplify the equation:

`81 + 144 = x^2`

225 = x^2

3. Take the square root of both sides:

x = ±√225

4. Evaluate the square root:

x = 15, -15

The missing side length can be 15 units or -15 units. Since the length of a side cannot be negative, the missing side length is 15 units.