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