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Home » From Fragile Foundation to Stunning Masterpiece—See How Thoma Build Delivered! - GetMeFoodie

From Fragile Foundation to Stunning Masterpiece—See How Thoma Build Delivered! - GetMeFoodie

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 S(6,3) = 3 \cdot 25 + 15 = 75 + 15 = 90

📌 Thus, the number of ways is $\boxed{90}$.**Question:

📌 Find the length of the shortest altitude in a triangle with sides measuring 13, 14, and 15 units.

📌 First, we calculate the area \( A \) of the triangle using Heron's formula. The semi-perimeter \( s \) is given by:

📌 A = \sqrt{s(s-13)(s-14)(s-15)} = \sqrt{21 \times 8 \times 7 \times 6}

📌 The altitudes \( h_a \), \( h_b \), and \( h_c \) corresponding to sides \( a = 13 \), \( b = 14 \), and \( c = 15 \) are calculated as follows:

📌 h_a = \frac{2A}{a} = \frac{2 \times 84}{13} = \frac{168}{13} \approx 12.92

📌 h_b = \frac{2A}{b} = \frac{2 \times 84}{14} = 12

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