Question 22

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Jambmaths question: 

A point P moves such that it is equidistance from Q and R. Find QR when PR =8cm and $\angle PRQ={{30}^{o}}$

Option A: 

$4\sqrt{3}$cm

Option B: 

8cm 

Option C: 

$8\sqrt{3}$cm

Option D: 

4cm

Jamb Maths Solution: 

$\cos {{30}^{\circ }}=\frac{x}{8}$

$x=8\cos {{30}^{o}}=4\sqrt{3}cm$

RQ = 2x   (P is the perpendicular bisector of RQ}

RQ =$2\times 4\sqrt{3}cm=8\sqrt{3}cm$ 

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