alleryIn triangle ABC, points P and Q are on AB and AC such that PQ is parallel to BC. If AP = x, PB = 6, AQ = 4, QC = 9, then x equals
A8/9
B3/8
C8/3
D9/8
Answer & Solution
Correct answer: C. 8/3
1. By BPT, AP/PB = AQ/QC, so x/6 = 4/9.
2. Cross-multiply: 9 x = 24, x = 24/9 = 8/3.
3. Hence x = 8/3.
_Source: syllabus Mathematics, Ch 6 "Triangles", §6.3_
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