Question

Find the missing sides of the triangle

Answer 1

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{12}{f}$ = $\frac{1}{2}$ ( cross- multiply )

f = 24

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Using the cosine ratio and the exact value

cos30° = $\frac{\sqrt{3} }{2}$ , then

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{e}{f}$ = $\frac{e}{24}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2e = 24$\sqrt{3}$ ( divide both sides by 2 )

e = 12$\sqrt{3}$

Answer 2

Answer:

F=24 and e=12$\sqrt{3}$

Step-by-step explanation: