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In triangle PQR, MN || QR with M on PQ and N on PR. If PM = 5 cm, MQ = 7.5 cm and PR = 25 cm, find PN (in cm).

Class 10Basic Proportionality TheoremGeometry — Similarity

A11
B20
C10
D9

Step-by-Step Solution

\frac{PM}{MQ} = \frac{PN}{NR} . \frac{PM}{MQ} = \frac{5}{7.5} = \frac{2}{3}

. Let

PN = x, NR = 25 - x . \frac{2}{3} = \frac{x}{25 - x}, 50 - 2 x = 3 x, 5 x = 50, x = 10

cm.

Answer: C) 10

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