Question

A
30
х
M
Figure 2
45
20
B В
С
D​

Answer 1

Answer:

If DE∣∣AB, then ΔCDE∼ΔABC

By property of similar triangles:

AC

CD

=

BC

CE

⟹

4x+22

x+3

=

4x+4

x

Cross-multiplying:

(x+3)(4x+4)=x(4x+22)

⟹4x

2

+16x+12=4x

2

+22x

12=6x⟹

x=2