Question

Solve for x round your answer to the nearest tenth

Answer 1

The value of x is 13.7.

Explanation:

☆We are going to use the Pythagorean theorem to solve this.

☆Pythagorean Theorem:

`{a}^(2) + {b}^(2) = {c}^(2)`

☆Remmeber: a = leg, b = leg, c = hypotenuse or the diagonal.

☆Let's plug in according to the pythagorean theorem and solve!

`{a}^(2) + {b}^(2) = {c}^(2) \\ {x}^(2) + {9.2}^(2) = {16.5}^(2) \\ {x}^(2) + 84.64 = 272.25 \\ \frac{ \: \: \: \: \: \: \: \: - 84.64 = - 84.64}{ {x}^(2) = √(187.61) } \\ x = 13.7`

Answer 2

13.7

Explanation:

Pythagorean theorem converse