Then find the value of side BC.
In the figure given below DE 11
11
AC 3
BC, If
and side AC
DB 5
6 cm. The find the value of
AE.
.
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1
Answer:
From the figure,
DE∥BG,AD=3cm,BD=4cm and BC=5cm
(i) AE:EC
So, AD/BD=AE/EC
AE/EC=AD/BD
AE/EC=
4
3
AE:EC=3:4
(ii) consider △ADE and △ABC
∠D=∠B
∠E=∠C
Therefore, △ADE∼△ABC
Then, DE/BC=AD/AB
DE/5=3/(3+4)
DE/5=3/7
DE=(3×5)/7
DE=15/7
DE=2
7
1
.
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