Question

In the given fig, DE | AC. which of the following is correct?
atb
av
B
or
AV
atb
a
D
E
b
C С
А
1​

Answer 1

Answer:

x = ay/a+b

Step-by-step explanation:

triangle BED and triangle BCA are similar as DE||AC

<BED = <BCA

<BDE = <BAC

thus the triangles are similar..

therefore,

ED/CA = BD/BA (by properties of similar triangles, i.e., the ratio between the corresponding sides of similar sides are equal.)

thus putting the values we get,

x/y =a/a+b (ED=x, CA=y, BD=a, BA=a+b)

or, x = ay/(a+b)

thus proved!!!!

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