Question
In a circle, two chords AB and CD intersect inside the
circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?Solution
By the intersecting chords theorem, AP × PB = CP × PD. Substituting the values, 4 × 6 = 5 × x, so 24 = 5x, x = 24 / 5 = 4.8 cm. Correct answer: c) 4.8 cm
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