Question

What is the value of x? Show all of your work.

Answer 1

`x = 8`

Explanation:

Step 1: Determine the Pythagorean theorem

Formula →
`a^2 + b^2 = c^2`

Step 2: Plug in and solve

`(x)^2 + (5)^2=(√(89))^2`

`x^2 + 25 = 89`

`x^2 + 25 - 25 = 89 - 25`

`x^2 = 64`

`√(x^2) = √(64)`

`x = \pm8`

Since we can only have a positive length, this means that we get 8 cm

Answer:
`x = 8`