Question

In the given figure DE is parallel to BC which of the following is true?

Answer 1

Given : DE is parallel to BC

To Find : Which of given is true

x = (a + b)/ay

y = ax/(a + b)

x = ay/(a + b)

x/y = a/b

Solution:

DE is parallel to BC

=> ∠D = ∠B , ∠E = ∠C   corresponding angles

and ∠A=∠A  common

=> ΔABC ~ ΔADE

=> AC/AE = BC/DE

=> (AE + EC)/a  =  y/x

=> ( a + b)/a = y/x

=> x =ay/(a + b)

x =ay/(a + b)

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