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प्रश्न
In the given figure ΔABC is shown, in which DE || BC. If AD = 5 cm, DB = 2.5 cm and DE = 8 cm, then the length of BC is:
पर्याय
10 cm
6 cm
12 cm
7.5 cm
MCQ
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उत्तर
12 cm
Explanation:
Given: AD = 5 cm, DB = 2.5 cm.
So, AB = AD + DB
= 5 + 2.5
= 7.5 cm
Using the similarity property:
`5/7.5 = 8/(BC)`
Convert `5/7.5` to a simpler fraction:
`(5 xx 10)/(7.5 xx 10) = 50/75 = 2/3`
`2/3 = 8/(BC)`
2 × BC = 8 × 3
2 × BC = 24
`BC = 24/2`
BC = 12 cm
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