JAMB - Mathematics (2010 - No. 15)

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

6 cm
7 cm
8 cm
5 cm

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.

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