Question

A 30 60 90 Triangle with a long leg of 12

Find the length of the hypotenuse and the short leg.

Answer 1

Step-by-step explanation: 5 17 7 22

the long leg would be opposite the middle angle 60°, the hypotenuse is opposite the 90° angle thus leaving the 30° is opposite the short leg

1) use sin Θ = opp / hyp sin 60° = 12 / hyp to find the hypotenuse

1) use sin Θ = opp / hyp sin 30° = opp/ hyp to find the short leg

hyp = 12 / sin(60) = 13.856 hypotenuse

opp = (12 / sin(60)) (sin 30) = 6.92 short leg

short leg ² + long leg ² = hypotenuse ²

48 + 144 = 192 sum of the legs squared = hyp²