Question

The length of the small leg of a 30 - 60 - 90 triangle is 5. what is the perimeter of the triangle?

A 5+15 Sqr3
B 15+5 Sqr3
C (5/2) +(15/2) Sqr3
D (15/2)+(5/2)Sqr3

Answer 1

B. 15 + 5√3.

Explanation:

The ratio of the sides in a 30-60-90 triangle is 1:√3:2.

So here the lengths of the sides are 5, 5√3 and 10.

Perimeter = 15 + 5√3.