Question
Download Solution PDFजर Δ ABC~Δ FDE जसे की AB = 9 सेमी, AC = 11 सेमी, DF = 16 सेमी आणि DE = 12 सेमी, तर BC ची लांबी आहे:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
AB = 9 सेमी, AC = 11 सेमी, DF = 16 सेमी आणि DE = 12 सेमी
वापरलेली संकल्पना:
जेव्हा दोन त्रिकोण सारखे असतात, तेव्हा त्यांचे संगत कोन समान असतात आणि त्यांच्या संगत बाजू समप्रमाणात असतात.
गणना:
ΔABC ~ ΔFDE म्हणून
तर, AB/DF = BC/DE = AC/FE
आता,
AB/DF = BC/DE
⇒ 9/16 = BC/12
⇒ BC = (9 × 12)/16
⇒ BC = 27/4
⇒ BC = \(6\frac{3}{4}\) सेमी
∴ BC ची लांबी \(6\frac{3}{4}\) आहे.
Last updated on Jul 12, 2025
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