Question
In ΔABC,XY is drawn parallel to BC, cutting sides at X
and Y, where AB = 5.4 cm ,BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?Solution
AB = 5.4, BX = 3 ⇒ AX = 5.4 − 3 = 2.4 XY ∥ BC ⇒ by similarity: XY / BC = AX / AB XY / 7.2 = 2.4 / 5.4 XY = 7.2 × (2.4 / 5.4) = 7.2 × (24 / 54) = 7.2 × (4 / 9) = 3.2 cm
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