1.

In ∆ABC, ∠B = 90o. D and E divide the sides CB and AB in the ratio 1 : 2. Prove that 9(AD2+ BE2) = 13 AC2.

Answer»

ANSWER:

Step-by-step explanation:

In ∆ACB ,

iii ) By adding ( 1 ) and ( 2 ) , we get

9( AQ² + BP² ) = 13AC² + 13BC²----( 3 )

But in ∆ACB ,

AB² = AC² + BC² ---( 4 )

[ By Phythogarian theorem ]

substitute ( 4 ) in ( 3 ) , we get

9( AQ² + BP² ) = 13AB²

Hence proved.

Ok


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