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Question


In the given figure, DE || BC. If AD = 6 cm, AB = 24 cm and DE = 5 cm, then BC = ____ cm.


A

5

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B

10

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C

20

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D

24

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Solution

The correct option is C

20


Consider ADE and ABC,

Given, DE || BC

ADE = ABC
AED = ACB
(Since corresponding angles are equal)

ADE ABC (by AA similarity criterion)

DEBC=ADAB
(corresponding sides of similar triangles are in same ratio)

BC=DE×ABAD

BC=5×246

BC=20 cm


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