Question

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.
.
​

Answer 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

.