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प्रश्न
If in a triangle ABC, D and E are on the sides AB and AC such that, DE is parallel to BC and `(AD)/(BD) = 3/5`. If AC = 4 cm, then AE is
पर्याय
1.5 cm
2.0 cm
1.8 cm
2.4 cm
MCQ
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उत्तर
1.5 cm
Explanation:
DE || BC
∴ `(AD)/(AB) = (AE)/(AC)`
`(AD)/(BD) = 3/5`
⇒ `(BD)/(AD) = 5/3`
⇒ `(BD)/(AD) + 1 = 5/3 + 1`
⇒ `(BD + AD)/(AD) = (5 + 3)/3`
∴ `(AD)/(AB) = (AE)/(AC)`
⇒ `3/8 = (AE)/4`
⇒ AE = `(3 xx 4)/8`
= 1.5 cm
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Geometry (Entrance Exam)
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