Question
Download Solution PDFएका त्रिकोणाच्या दोन समान बाजू आहेत आणि तिसरी बाजू यापैकी कोणत्याही बाजूच्या 1.5 पट आहे. जर त्रिकोणाची परिमिती 14 एकक असेल, तर त्रिकोणाचे क्षेत्रफळ ___ चौरस एकक असेल.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
एका त्रिकोणाला दोन समान बाजू आहेत.
तिसरी बाजू यापैकी कोणत्याही समान बाजूच्या 1.5 पट आहे.
त्रिकोणाची परिमिती 14 एकक आहे.
वापरलेले सूत्र:
त्रिकोणाचे क्षेत्रफळ = 1/2 × पाया × उंची
गणना:
समान बाजूची लांबी x
आणि तिसर्‍या बाजूची लांबी 1.5x मानू.
⇒ x + x + 1.5x = 14
⇒ 3.5x = 14
⇒ x = 14 ÷ 3.5 = 4 एकक
तिसरी बाजू = 1.5 × 4 = 6 एकक
त्रिकोणाची उंची,
⇒ h = √(42 - (6/2)2)
⇒ √(16 - 9) = √7 एकक
त्रिकोणाचे क्षेत्रफळ = 1/2 × पाया × उंची
⇒ 0.5 × 6 × √7 = 3√7 चौ. एकक.
म्हणून, त्रिकोणाचे क्षेत्रफळ 3√7 चौ. एकक आहे.
Last updated on Jun 30, 2025
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