Question

Solve for x. Round your answer to the nearest tenth.

Answer 1

`2`√
`13` or
`7.2`.

Explanation:

For this problem, you need to apply the Pythagorean theorem.

The equation for the Pythagorean theorem is
`a^(2) +b^(2) =c^(2)`.

• Fill in the leg and hypotenuse.

=
`12^(2) + b^(2)= 14^(2)`

• Subtract
  `14^(2) - 12^(2)` to solve for b. (or x length in the picture.)

`14^(2) - 12^(2)` =
`52`

• Find the square root of
  `52`.

`√(52) = 2√(13)`

• Find the decimal and round to the nearest tenth.

`2√(13) = 7.211102551`

• Round to the nearest tenth.

`7.211102551 = 7.2`

Therefore, the missing side is equal to 7.2.

Hope it helped!