Question

The hypotenuse of a 30-60-90 triangle is 12 inches long. How long is the leg opposite the 60 degree angle?

A ) 6 inches
B ) 6sqrt(2) inches
C ) 6sqrt(3) inches
D ) 8 inches

Answer 1

Answer: D

Explanation:

Remember that the Opposite side to an angle is in the same order of length as the Angle. So,
`90 = 12, and 60 = 8`. Using Cross multiplication, this answer can be solved:

`(90)/(12) = (60)/(n)` , 60 x 12 = 720, and 90 x 8 = 720. N = 8.

`(90)/(12) = (30)/(n)` , 30 x 12 = 360, and 90 x 4 = 360. N = 4