Question
Download Solution PDFएक त्रिभुज की भुजाएँ \(1 \over3\) ∶ \(1 \over5\) ∶ \(1 \over6\) के अनुपात में हैं। यदि परिमाप 147 cm है तो सबसे छोटी भुजा की लंबाई ________ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
त्रिभुज की भुजाएँ \(1 \over3\) ∶ \(1 \over5\) ∶ \(1 \over6\) के अनुपात में हैं।
गणना:
3, 5, 6 का लघुत्तम समापवर्त्य 30 है।
इसलिए, भुजाओं का अनुपात = 30 × \(1 \over3\) : 30 × \(1 \over5\) : 30 × \(1 \over6\)
⇒ 10 : 6 : 5
इसलिए, 10 + 6 + 5 = 147
⇒ 21 = 147
⇒ 1 = 7
इसलिए, सबसे छोटी भुजा = 5 × 7
⇒ 35
∴ सबसे छोटी भुजा की लंबाई 35 cm है।
Last updated on Jul 21, 2025
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