4) What is the betweenness of the points A, B and D if d(B,D) = 7.3, d(DA) = 3.9 and d(B,A) = 13.2?
Answers
Answered by
1
Answer:
AD
=
2
3
[ Given ]
∴
DB
AD
+1=
2
3
+1
∴
DB
AD+DB
=
2
3+2
∴
DB
AB
=
2
5
--- ( 1 )
In △BDE and △ABC
∠B=∠B [ Common ]
∠BAC=∠BDE [ ∵DE∥AC ]
∴ △ABC∼△BDE [ By AA similarity criteria ]
ar(△BDE)
ar(△ABC)
=
DB
2
AB
2
=
2
2
5
2
=
4
25
[ From ( 1 ) ]
∴ ar(△ABC):ar(△BDE)=25:4
Similar questions