Question

Find the length of the third side. If necessary, write in simplest radical

form.
472
9

Answer 1

7

Explanation:

Using Pythagoras' identity in the right triangle.

let the third side be x , then

x² + (4
`√(2)` )² = 9²

x² + 32 = 81 ( subtract 32 from both sides )

x² = 49 ( take the square root of both sides )

x =
`√(49)` = 7

Then the third side is 7