Math, asked by namishm, 1 year ago

in figure DE is parallel to BC and AD =½BD. if BC = 4.5 cm find d

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Answered by aryan1silverpchaf4
57
if you meant to find de ,. here's your answer.
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Answered by amitnrw
34

DE = 1.5 cm if DE is parallel to BC and AD =½BD. if BC = 4.5 cm

Step-by-step explanation:

DE ║ BC

=> ΔADE ≈ ΔABC

AD/AB = DE/BC  = AE/AC

AD/AB  = AD /(AD + BD)

AD = BD/2

=> BD = 2AD

= AD/(AD + 2AD)

= AD/3AD

= 1/3

=> DE/BC = 1/3

=> DE = BC/3

BC = 4.5

=> DE = 4.5/3

=> DE = 1.5 cm

DE = 1.5 cm

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