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Home » "17 Shocking Truths from Proverbs 19:21 You Never Knew—Mind-Blowing Facts! - American Beagle Club

"17 Shocking Truths from Proverbs 19:21 You Never Knew—Mind-Blowing Facts! - American Beagle Club

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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s = \frac{13 + 14 + 15}{2} = \frac{42}{2} = 21
Apply Heron’s formula:
A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)} = \sqrt{2...
= \sqrt{21 \times 8 \times 7 \times 6} = \sqrt{7056}
A = 84
The altitudes \(h_a\), \(h_b\), \(h_c\) corresponding to sides \(a\),...
h_a = \frac{2A}{a}, \quad h_b = \frac{2A}{b}, \quad h_c = \frac{2A}{c}
The shortest altitude corresponds to the longest side, which is \(c =...
h_{\text{min}} = \frac{2 \times 84}{15} = \frac{168}{15} = \frac{56}{5...
Thus, the length of the shortest altitude is \(\boxed{\frac{56}{5}}\)...

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