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

Respuesta :

Answer: D

Step-by-step explanation:

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

[tex]\frac{90}{12} = \frac{60}{n}[/tex]  , 60 x 12 = 720, and 90 x 8 = 720. N = 8.

[tex]\frac{90}{12} = \frac{30}{n}[/tex] , 30 x 12 = 360, and 90 x 4 = 360. N = 4