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Using trigonometry, work out the perimeter of the right-angled triangle below. Give your answer in metres to 1 d.p. 14.7 m 38°



Using trigonometry, work out the perimeter of the right-angled triangle below. Give-example-1
User AKoran
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1 Answer

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The perimeter of the triangle is 44.9 m.

What is the perimeter of the triangle?

Opposite = x

Adjacent = 14.7 m

tan 38° = opposite / adjacent

tan 38° = x/14.7

cross product

x = tan 38° × 14.7

x = 11.5

Hypotenuse² = opposite² + adjacent²

= 11.5² + 14.7²

= 132.25 + 216.09

Hypotenuse² = 348.34

Hypotenuse = √348.34

Hypotenuse = 18.7 m

Therefore, the perimeter of the triangle

= Hypotenuse + opposite + adjacent

= 18.7 m + 11.5 m + 14.7 m

= 44.9 m

User Jessiica
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