Question

The length of the small leg of a 30°-60°-90° triangle is 7. What is the perimeter of the triangle?

Answer 1

21 +7√3

Explanation:

The lengths of the sides of a 30°-60°-90° triangle have the ratios ...

1 : √3 : 2

so the perimeter in "ratio units" is

1 + √3 + 2 = 3+√3.

Your triangle has dimensions a factor of 7 larger, so its perimeter is ...

7·(3 +√3) = 21 +7√3 . . . . triangle perimeter