Question

Find the perimeter of the isosceles triangle in simplest radical form.

Answer 1

9514 1404 393

Answer:

6 +8√5

Explanation:

The leg length can be reduced to simpler form:

3 +√45 = 3 +√(3²·5) = 3 +3√5

The perimeter is the sum of the side lengths, so is ...

(3 +3√5) +(3 +3√5) +(2√5) = 6 +8√5 . . . perimeter