Question

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

Answer 1

Explanation:

Remark

You need to choose between tan(30) and tan(60). Tan(60) = √3 which has a rational denominator (1).

Tan(60) = opposite / adjacent

Tan(60) = √3

Given

opposite = x

adjacent = 4

Theta = 60

Tan(theta) = √3

Solution

Tan(theta) = opposite / adjacent Substitute values

√3 = x / 4 Multiply both sides by 4

4√3 = x

Answer

x = 4√3