Q7 of 95 Page 6

In the given figure, XY || BC. Find the length of XY, given BC = 6 cm.

Given: XY || BC

To find: XY


Since, XY || BC, AB is transversal, then,


AXY = ABC [by corresponding angles]


Since, XY || BC, AC is transversal, then,


AYX = ABC [by corresponding angles]


In AXY andABC


∠AXY = ∠ABC


∠AYX = ∠ACB


∴ AXY ≅ ABC [by AA similarity]


Since, triangles are similar, hence corresponding sides will be proportional








⇒XY = 1.5


Therefore, XY= 1.5cm


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