Question

practice with trigonometric ratios sp 26
for angle a,
$cos(a) = \frac{12}{13}$
which set of side lengths could represent the adjacent side and the hypotenuse?
○ 36 and 52
○ 24 and 39
○ 12 and 26
○ 24 and 26

Explanation:

Step1: Recall cosine ratio definition

$\cos(A) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{12}{13}$

Step2: Check each option's ratio

• Option1: $\frac{36}{52} = \frac{9}{13}$
• Option2: $\frac{24}{39} = \frac{8}{13}$
• Option3: $\frac{12}{26} = \frac{6}{13}$
• Option4: $\frac{24}{26} = \frac{12}{13}$

Answer:

24 and 26