Question

Find the value of x to the nearest tenth.

Answer 1

`x = 2`

Explanation:

Using the pythagorean theorem in the right triangle:

`1^2 + 2^2 = c^2\\1 + 4 = c^2\\c = \sqrt5`

Using the pythagorean theorem in the left triangle:

`x^2 + (\sqrt5)^2 = 3^2\\x^2 + 5 = 9\\x^2 = 4\\x = 2`