Answer:
AB = 17.3 cm
Step-by-step explanation:
We require to find the measure of ∠A then use the cosine ratio to calculate AB
sum the parts of the ratio 3 + 2 = 5 parts, then
90° ÷ 5 = 18° ← value of 1 part of ratio
∠A = 2 × 18° = 36°, thus
cos36° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{AB}[/tex]
Multiply both sides by AB
AB × cos36° = 14 ( divide both sides by cos36° )
AB = [tex]\frac{14}{cos36}[/tex] ≈ 17.3 cm
