Q. 235.0( 2 Votes )

In the given figure, ABC = 90° and BD AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.


Answer :

Given: ABC = 90° and BD AC

and AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm


To find: BC


Firstly, we have to show that ABC ~BDC


Let ABC and BDC


ABC = BDC [each 90°]


ACB = BCD [common angle]


ABC ~BDC [by AA similarity criterion]


Since, triangles are similar, hence corresponding sides are proportional.





BC = 8.1cm


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