Question

What is the length of leg s of the triangle below?

Answer 1

Answer:

D

Step-by-step explanation:

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

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{s}{\sqrt{32} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

s × $\sqrt{2}$ = $\sqrt{32}$ ( divide both sides by $\sqrt{2}$ )

s = $\frac{\sqrt{32} }{\sqrt{2} }$ = $\sqrt{\frac{32}{2} }$ = $\sqrt{16}$ = 4 → D