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
Correct Answer: Option B
Explanation
(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