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Home » Using Heron’s formula for the area: - Simpleprint

Using Heron’s formula for the area: - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 v < \frac{67}{12} \approx 5.583

📌 Since \( v \) is a positive integer, the largest possible value is \( v = 5 \). We verify:

📌 4(5) + \frac{8}{3} = 20 + \frac{8}{3} = \frac{68}{3} \approx 22.67 < 25

📌 Try \( v = 6 \):

📌 4(6) + \frac{8}{3} = 24 + \frac{8}{3} = \frac{72+8}{3} = \frac{80}{3} \approx 26.67 > 25

📌 So \( v = 6 \) exceeds the limit. Thus, the maximum possible integer value is \(\boxed{5}\).

📌 Question:** What is the greatest common factor of 72 and 108?

📌 We compute the prime factorizations:

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The area of the triangle is 6.5 square units.
\[ \int (3x^2 - 2x + 1) \, dx = \int 3x^2 \, dx - \int 2x \, dx + \int...
\[ = 3 \cdot rac{x^3}{3} - 2 \cdot rac{x^2}{2} + x + C \]
\[ = x^3 - x^2 + x + C \]
Therefore, the integral is:
The surface area \( SA \) of a rectangular prism is given by:
where \( l = 4 \) cm, \( w = 5 \) cm, and \( h = 6 \) cm.
\[ SA = 2(4 imes 5 + 4 imes 6 + 5 imes 6) \]
\[ SA = 2(20 + 24 + 30) \]
\[ SA = 2(74) \]

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