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Someone please help answer this question-example-1

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Answer:

AB = 17.3 cm

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° =
(adjacent)/(hypotenuse) =
(14)/(AB)

Multiply both sides by AB

AB × cos36° = 14 ( divide both sides by cos36° )

AB =
(14)/(cos36) ≈ 17.3 cm

User Fifi
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