Question
Download Solution PDFएक त्रिभुज की भुजाओं का अनुपात 4 ∶ 6 ∶ 8 है। वह कौन-सा त्रिभुज होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक त्रिभुज की भुजाओं का अनुपात 4 ∶ 6 ∶ 8 है।
प्रयुक्त अवधारणा:
यदि छोटी भुजाओं के वर्गों का योग, सबसे बड़ी भुजा के वर्ग से कम हो तो त्रिभुज अधिक कोण त्रिभुज कहलाता है।
गणना:
माना कि त्रिभुज की भुजाएँ क्रमशः 4x, 6x और 8x हैं।
अब,
(4x)2 + (6x)2 < (8x)2
⇒ 52x2 < 64x2
इसलिए, त्रिभुज एक अधिककोण त्रिभुज है।
∴ त्रिभुज अधिककोण है।
Last updated on Jun 13, 2025
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