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2 years ago

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QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres?

A 6 B.9 C, 12 D. 15

1 answer:

AlexFokin [52]2 years ago

5 0

Answer:

15

Step-by-step explanation:

Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4

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Answer:

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Step-by-step explanation:

to know the value of q in degrees we can use cosine of q

$\cos (q) = \frac{OR}{OQ}\\\\\cos (q) = \frac{5}{13}\\\\q = \cos^{-1}(\frac{5}{13})\\\\q \approx 67.38$

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$x\times\frac{2\pi}{360}\\\\$

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$67.38\times \frac{2\pi}{360}\\\\=\frac{67.38\pi}{180}\\\\\approx 0.374\pi\\\\\approx 1.18$

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$A = \frac{13^2 (1.18)}{2}\\\\A = 99.71$ cm^2

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