त्रिकोणाच्या दोन्ही बाजू 3 सेमी आणि 8 सेमी लांबीच्या आणि तिसर्या बाजूची लांबी x सेंमी असल्यास, दिलेल्या पर्यायांपैकी योग्य पर्याय निवडा.

  1. 1 < x < 11
  2. x < 11
  3. x > 11
  4. 5 < x < 11

Answer (Detailed Solution Below)

Option 4 : 5 < x < 11
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Detailed Solution

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दिल्याप्रमाणे,

त्रिकोणाच्या दोन्ही बाजू 3 सेमी आणि 8 सेमी लांबीच्या आहेत आणि तिसर्या बाजूची लांबी x सेंमी आहे.

जसे आपल्याला माहित आहे,

त्रिकोणाच्या दोन बाजूंची बेरीज नेहमी त्रिकोणाच्या तिसर्या बाजूपेक्षा जास्त असते.

∴ त्रिकोणाच्या दोन बाजूंची बेरीज > त्रिकोणाची तिसरी बाजू.

⇒ 3 + 8> तिसरी बाजू

> 11> x

तसेच,

आणखी एक स्तिती,

⇒ x + 3> 8

⇒ x> 8 - 3

⇒ x> 5

<5

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