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In the given figure angleABC=90^(@) and...

In the given figure `angleABC=90^(@) and CD bot AB`. Prove that `(BC^(2))/(AC^(2))=(BD)/(AD)`

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`Delta ABC~ Delta CBD`
`rArr (BC)/(BD)=(AB)/(CB)rArr BC^(2)=AB*BD" "....(ii)`
`Delta ABC~Delta ACD`
`rArr (AC)/(AD)=(AB)/(AC)rArr AC^(2)=AB*BD." "....(iii)`
Divinding, (i)by (ii), we get `(BC^(2))/(AC^(2))=(BD)/(AD)`
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RS AGGARWAL-TRIANGLES-Exercise 7D
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