Geometrymedium · Past Paper
In the figure, PQ is a tangent at P. If O is the center and angle OPQ = 90 degrees, and OP = 5 cm, OQ = 13 cm, find PQ.
A8 cm
B10 cm
C12 cm
D15 cm
✓ Correct Answer: C — 12 cm
Using Pythagoras theorem: PQ^2 = OQ^2 - OP^2 = 13^2 - 5^2 = 169 - 25 = 144. PQ = 12 cm.
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