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In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. ...

In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP

In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP

A.

4cm

B.

16cm

C.

9cm

D.

14cm

E.

Impossible, insufficient data

View answer & explanation

Correct answer is B

$\frac{PQ}{6 + RT} = \frac{6}{12} = \frac{6}{PS}$ (Similar triangles)

$\frac{6}{12} = \frac{8}{PS}$

PS = $\frac{12 \times 8}{6}$

= 16cm

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