ABCD हा एक समलंब चौकोन आहे, ज्यामध्ये CD आणि AB ची लांबी 12 सेमी आणि 8 सेमी आहे. AC आणि BD हे कर्ण आहेत, ज्यांचे मध्य बिंदू P आणि Q आहेत. तर PQ ची लांबी शोधा? (येथे, CD ∥ AB)

  1. 2 सें.मी.
  2. 4 सें.मी.
  3. 3 सें.मी.
  4. 5 सें.मी.

Answer (Detailed Solution Below)

Option 1 : 2 सें.मी.
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Detailed Solution

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दिलेले आहे:

AB = 8 सें.मी.

CD = 12 सें.मी.

AP = PC

BQ = QD

वापरलेले सूत्र:

समलंब चौकोनाच्या कर्णांच्या मध्यबिंदूंना जोडणाऱ्या रेषेची लांबी = (मोठी समांतर बाजू - लहान समांतर बाजू)/2

गणना:

F1 Shailendra Madhuri 23.02.2021 D13

PQ = (DC - AB)/2

⇒ (12 - 8)/2

⇒ 4/2 

⇒ 2 सें.मी.

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