Question

What is the length of leg s of the triangle below? 45 4-12 90° 45

Answer 1

Answer:

A

Step-by-step explanation:

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

cos45° = $\frac{1}{\sqrt{2} }$ , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{s}{4\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

s × $\sqrt{2}$ = 4$\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

s = 4 → A