Question

Find the value of x in the triangle shown below.
9
7

Answer 1

The exact answer is 4
`√(2)` or 5.7 rounded to the nearest tenth

Explanation:

`x^(2)` +
`7^(2)` =
`9^(2)`

`x^(2)` + 49 = 81 Subtract 49 from both sides

`x^(2)` = 32

`\sqrt{x^(2) }` =
`√(32)`

x =
`√(32)` =
`√(2x2x2x2x2)` = 4
`√(2)`