मराठी

Ιn ΔΑBC, DE || BC such that (AD)/(DB) = 3/5. If AC = 5.6 cm then AE = ?

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प्रश्न

Ιn ΔΑBC, DE || BC such that `(AD)/(DB) = 3/5`. If AC = 5.6 cm then AE = ?

पर्याय

  • 4.2 cm

  • 3.1 cm

  • 2.8 cm

  • 2.1 cm

MCQ
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उत्तर

2.1 cm

Explanation:

Since DE || BC, by the Basic Proportionality Theorem `(AD)/(DB) = (AE)/(EC) = 3/5`. 

Let AE = 3k and EC = 5k.

So, AC = 8k = 5.6

⇒ k = 0.7 

Hence, AE = 3k 

= 3 × 0.7

= 2.1 cm

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पाठ 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [पृष्ठ ४५४]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 26. | पृष्ठ ४५४
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