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If the area of ΔPQR above is 12\(\sqrt{3}\) cm\(^2\), find the value of q?

Mathematics
JAMB 2010

If the area of ΔPQR above is 12\(\sqrt{3}\) cm\(^2\), find the value of q?

  • A. 6 cm
  • B. 7 cm
  • C. 8 cm
  • D. 5 cm
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Correct Answer: Option A
Explanation

Area of a triangle = \(\frac{1}{2}\) ab Sinθ
12\(\sqrt{3}\) = \(\frac{1}{2}\) x 8 x q sin 60
12\(\sqrt{3}\) = 4 x q x \(\frac{\sqrt{3}}{2}\)
12\(\sqrt{3}\) = 2q\(\sqrt{3}\)

q = \(\frac{12\sqrt{3}}{2\sqrt{3}}\)

q = 6cm.

There is an explanation video available below.


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Explanation Video

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