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 ) 6sqr

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

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Adeline 2 weeks 2021-09-13T03:13:54+00:00 1 Answer 0

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    2021-09-13T03:15:21+00:00

    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, 90 = 12, and  60 = 8. Using Cross multiplication, this answer can be solved:

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

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

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