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Home » Solving the quadratic equation \( n^2 + n - 420 = 0 \): - Groen Casting

Solving the quadratic equation \( n^2 + n - 420 = 0 \): - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution:** To find the area of the triangle using Heron's formula, first compute the semi-perimeter \(s\):

📌 s = \frac{a + b + c}{2} = \frac{7 + 24 + 25}{2} = 28

📌 Heron's formula for the area \(A\) is:

📌 A = \sqrt{s(s-a)(s-b)(s-c)}

📌 Substituting the values of \(a = 7\), \(b = 24\), \(c = 25\), we have:

📌 A = \sqrt{28 \times (28-7) \times (28-24) \times (28-25)}

📌 A = \sqrt{28 \times 21 \times 4 \times 3}

📌 A = \sqrt{28 \times 252}

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