Question
Download Solution PDFΔPQR आणि ΔDEF या समान त्रिकोणाच्या बाजू 5 ∶ 6 या प्रमाणात आहेत. जर ΔPQR चे क्षेत्रफळ 75 सेमी2 असेल तर ΔDEF चे क्षेत्रफळ किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
ΔPQR ∼ ΔDEF
ΔPQR आणि ΔDEF च्या बाजू 5 ∶ 6 या प्रमाणात आहेत.
क्षेत्रफळ(PQR) = 75 सेमी2
वापरलेली संकल्पना:
समान त्रिकोणांच्या क्षेत्रफळाचे गुणोत्तर हे संबंधित त्रिकोणांच्या बाजूंच्या गुणोत्तराच्या वर्गाच्या समान असते.
गणना:
ΔPQR ∼ ΔDEF
क्षेत्रफळ(PQR)/क्षेत्रफळ(DEF) = (ΔPQR ची बाजू/ΔDEF ची बाजू)2
⇒ 75 सेमी2 /क्षेत्रफळ(DEF) = (5/6)2
⇒ क्षेत्रफळ(DEF) = 108 सेमी2
∴ ΔDEF चे क्षेत्रफळ 108 सेमी2 आहे.
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