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Question

ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB=3.6 cm, AC=2.4 cm and AD=2.1 cm, then AE is equal to:

A
1.4 cm
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B
1.8 cm
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C
1.2 cm
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D
1.05 cm
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Solution

The correct option is A 1.4 cm
Given: ABC, DEBC
In ABC and DEA,
BAC=DAE ...(Common angles)
ABC=ADE ...(Corresponding angles)
ACB=AED ...(Corresponding angles)
Thus, ABCADE ...(AAA rule)
Hence, ABAD=ACAE ...(Corresponding sides)

3.62.1=2.4AE

AE=2.1×2.43.6
AE=1.4 cm

206074_234595_ans.PNG

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