Question

In triangle ABC, DE II BC. If AD= x, DB= x- 2, AE= x+2 and EC= x-1, then the value of x is.

a) 2
b) -4
c) 4​

Answer 1

Answer:

In △ABC,

LM∥BC

∴ By proportionality theorem,

AB

AM

=

AC

AL

............(1)

Similarly,

In △ADC,

LN∥CD

∴ By proportionality theorem,

AD

AN

=

AC

AL

............(2)

∴ from (1) and (2),

AB

AM

=

AD

AN