in the given figure de is parallel to AC .which of the following is correct? a+b/ay or ay/a+b
Answers
Answer:
Step-by-step explanation:
In tri. BED and tri. CBA,
ang. B = ang. B __ COMMON
ang. E = ang. C __ CORRESPONDING ANGLES, DE || AC
tri. EBD is similar to tri. CBA under AA similarity,
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Therefore, ED/CA = BD/BA ___ BPT
i.e. x/y=a/a+b
i.e. x=ay/a+b.
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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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