दिलेल्या आकृतीमध्ये, ABC त्रिकोणाचे क्षेत्रफळ 80 सेमी2 आणि BC = 10 सेमी आहे, तर चौरस PQRS बाजू (सेमीमध्ये) किती आहे?

F1 Mohd.S 16-05-2020 Shradha D19

  1. 80/17
  2. 80/13
  3. 70/13
  4. 90/13

Answer (Detailed Solution Below)

Option 2 : 80/13
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Detailed Solution

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ABC त्रिकोणाचे क्षेत्रफळ = 1/2 × BC × उंची

⇒ 80 = 1/2 × 10 × उंची

⇒ उंची = 16 सेमी

PQRS या वर्गाची बाजू, सर्व बाजू समान आहेत हे आपल्याला माहीत आहे

अशाप्रकारे त्रिकोणाचा समानता नियम.

\(\frac{{BC}}{{SR}} = \frac{{AD}}{{AM}}\)

\(\frac{{10}}{{x}} = \frac{{16}}{{16 - x}}\)

x = 80/13

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