Question

Find the length of side x in simplest radical form with a rational denominator.

Answer 1

x =
`√(22)`

Explanation:

the 2 legs are congruent

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

x² = (
`√(11)` )² + (
`√(11)` )² = 11 + 11 = 22 ( take square root of both sides )

x =
`√(22)`