Question

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

Answer 1

x = 5
`√(2)`

Explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° =
`(1)/(√(2) )` , then

cos45° =
`(adjacent)/(hypotenuse)` =
`(5)/(x)` =
`(1)/(√(2) )` ( cross- multiply )

x = 5
`√(2)`