Question
Download Solution PDFदोन समान त्रिकोणांच्या संगत बाजूंचे गुणोत्तर 5 ∶ 6 आहे. तर त्रिकोणांचे क्षेत्रफळांचे गुणोत्तर काढा:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
दोन समान त्रिकोणांच्या संगत बाजूंचे गुणोत्तर 5 ∶ 6 आहे.
वापरलेली संकल्पना:
जर दोन त्रिकोण समान असतील, तर दोन्ही त्रिकोणांच्या क्षेत्रफळाचे गुणोत्तर त्यांच्या संबंधित बाजूंच्या वर्गांच्या गुणोत्तरासारखेच असते.
गणना:
समजा, ते समान त्रिकोण ABC आणि PQR आहेत.
दोन त्रिकोणांच्या संगत बाजू AB : PQ या 5 : 6 या गुणोत्तरात आहेत.
याचा अर्थ, ABC आणि PQR त्रिकोणाच्या क्षेत्रफळांचे गुणोत्तर:
आपल्याला माहित आहे की,
⇒ (
म्हणून, त्या दोन त्रिकोणांच्या क्षेत्रफळाचे गुणोत्तर 25 : 36 असेल.
Last updated on Jul 11, 2025
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