Question

Q4 (a) in the given figure calculatex
(b) In ABC D is a point of Bo such that AB = AD = BD = DO Show
that ADO = 41
10 in ABC B90Find the sides of the trangle if.
AB = (x + 3) cm
BC = x + ayam
AC = (x + 6) cm​

Answer 1

Answer:

DBAD=23       [ Given ]

∴  DBAD+1=23+1

∴  DBAD+DB=23+2

∴  DBAB=25         --- ( 1 )

In △BDE and △ABC

∠B=∠B       [ Common ]

∠BAC=∠BDE        [ ∵DE∥AC ]

∴  △ABC∼△BDE    [ By AA similarity criteria ]

ar(△BDE)ar(△ABC)=DB2AB2=2252=425       [ From ( 1 ) ]

∴  ar(△ABC):ar(△BDE)=25:4

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