समभुज चौकोनाचे क्षेत्रफळ 96 चौरस सेमी आणि पहिल्या कर्णाची लांबी 6 सेमी असल्यास दुसऱ्या कर्णाची लांबी किती असेल?

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RRB ALP Electronics Mechanic 21 Jan 2019 Official Paper (Shift 1)
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  1. 48 सेमी
  2. 16 सेमी
  3. 24 सेमी
  4. 32 सेमी

Answer (Detailed Solution Below)

Option 4 : 32 सेमी
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दिलेल्याप्रमाणे,

समभुज चौकोनाचे क्षेत्रफळ = 96 चौरस सेमी

पहिल्या कर्णाची लांबी (d1) = 6 सेमी

संकल्पना:/सूत्र:

समभुज चौकोनाचे क्षेत्रफळ = (1/2) × d1 × d2

d1 = पहिला कर्ण

d2 = दुसरा कर्ण

गणना:

समभुज चौकोनाचे क्षेत्रफळ = (1/2) × d1 × d2

⇒ 96 = (1/2) × 6 × d2

⇒ d2 = 96/3

⇒ d2 = 32

दुसऱ्या कर्णाची लांबी 32 सेमी आहे.

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