Math, asked by nedu123, 1 year ago

in the given figure de is parallel to AC .which of the following is correct? a+b/ay or ay/a+b

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Answers

Answered by gamedevlopersp7a7p2
146

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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Answered by amitnrw
14

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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