BA and DC are two chords of a circle, which when extended meet at a point P outside the circle. If PA=4 cm, PB=10 cm and PC=5 cm then find the length of CD.
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Answered by
2
Answer:
3 cm
Step-by-step explanation:
See attachment
Since BA and DC are secants that intersect at point P
⇒ PB x PA = PD x PC
Find PD:
PB x PA = PD x PC
10 x 4 = PD x 5
40 = 5 PD
PD = 40 ÷ 5 = 8 cm
Find CD:
CD = PD - PC
CD = 8 - 5
CD = 3 cm
Answer: 3 cm
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