Question
Download Solution PDFΔABC ∼ ΔDEF जैसे कि AB = 9.1 सेमी और DE = 6.5 सेमी। यदि ΔDEF का परिमाप = 25 सेमी, तो ΔABC का परिमाप कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
ΔABC ~ ΔDEF
AB = 9.1 सेमी
DE = 6.5 सेमी
ΔDEF का परिमाप = 25 सेमी
प्रयुक्त अवधारणा:
त्रिभुज की संगत भुजाओं का अनुपात उनके परिमाप के अनुपात के बराबर होता है।
गणना:
अवधारणा के अनुसार,
⇒ \(\frac{AB} {DE} = \frac{\triangle ABC} {\triangle DEF} \)
⇒ \(\frac{9.1 } {6.5 } = \frac{\triangle ABC} {25} \)
⇒ ΔABC = 35 सेमी
⇒ अतः, ΔDEF का परिमाप 35 सेमी है।
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