Question

Find value of x from
from information
in fig
大 x+6
x+10
D
7110
B В
C
AD = x +10
BD =4x+10
AC = x+6
EC= x+10​

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