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Question
In Fig. 7.140, ∠AB=90∘ and BD⊥AC. If AB = 5.7 cm, BD = 3.8 cm and CD=5.4 cm, find BC.
In Fig. 7.140, ∠AB=90∘ and BD⊥AC. If AB = 5.7 cm, BD = 3.8 cm and CD=5.4 cm, find BC.
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Solution
In 
ABC and 
ADB
ABC =
ADB (right angle)
BAD = 
BAC (common angle)
180 - (
ABC + 
BAC ) = 180 - (
ADB +
BAD )
DBA = 
BCA (proved)
Hence both the triangles are similar.
(Corresponding sides of similar triangles)
BC = 1.2 cm
In ABC and ADB
ABC = ADB (right angle)
BAD = BAC (common angle)
180 - (ABC + BAC ) = 180 - ( ADB +BAD )
DBA = BCA (proved)
Hence both the triangles are similar.
(Corresponding sides of similar triangles)
BC = 1.2 cm
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