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In triangle PQR, ∠Q = 90° and QS is perpendicular to PR. If PS = 3.6 cm and SR = 6.4 cm, find PQ.

Competition practiceGeometry

A6 cm
B4.8 cm
C8 cm
D7.2 cm

Step-by-Step Solution

Triangles

PSQ

and

PQR

are similar, so

P Q^{2} = PS \times PR = 3.6 \times 10 = 36

and

PQ = 6

cm. (4.8 cm is

QS

and 8 cm is

QR .

)

Answer: A) 6 cm

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