Question
Download Solution PDFएक त्रिभुज का क्षेत्रफल 96 सेमी2 है और इसकी भुजाओं का अनुपात 6 ∶ 8 ∶ 10 है। त्रिभुज का परिमाप क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक त्रिभुज का क्षेत्रफल 96 सेमी2 है और इसकी भुजाओं का अनुपात 6 ∶ 8 ∶ 10 है।
प्रयुक्त अवधारणा:
त्रिभुज का क्षेत्रफल =
गणना:
माना त्रिभुज की भुजाएँ क्रमशः 6k, 8k और 10k हैं।
त्रिभुज का परिमाप = (6k + 8k + 10k) = 24k
अर्ध-परिमाप = 24k/2 = 12k
अवधारणा के अनुसार,
⇒
⇒
⇒ 24k2 = 96
⇒ k2 = 96/24
⇒ k2 = 4
⇒ k = 2
⇒ 24k = 48
∴ त्रिभुज का परिमाप 48 सेमी है।
Last updated on Jul 21, 2025
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