In a PMN, S is a point on PM that divides PM in the ratio of 5 : 7. The line segment ST is parallel to MN. If MN = 24 cm, then what is the length (in cm) of segment ST?
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 10.
Let PS = 5x and SM = 7x
⇒ PM = 5x + 7x = 12x
Applying the congruent triangle rule on ΔPMN and ΔPST,
ST/PS = MN/PM
⇒ ST/5x = 24/12x
⇒ ST/5 = 2
⇒ ST = 10
Hence, the length of ST is 10 cm.