The length of the hypotenuse of a 30 degree -60 degree -90 degree triangle is 16. What is the perimeter?
A. 64+8 √3
B. 24+8 √3
C. 16+64 √3
D. 8+24 √3
The 30-60-90 triangle has sides in the ratio 1:√3:2.
Since we are given that the length of the hypotenuse is 16, we can determine that the other two sides are 8 and 8√3.
Perimeter = 8 + 8√3 + 16 = 24 + 8√3
Therefore, the correct option is:
B. 24 + 8√3