Q. 73.8( 9 Votes )

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

Answer :

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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