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Questions and Answers
What is the formula for finding the area A of a triangle using Heron's formula?
The formula for finding the area A of a triangle using Heron's formula is $A = \sqrt{s(s-a)(s-b)(s-c)}$.
Who is Heron's formula named after and when was it proven?
Heron's formula is named after the first-century engineer Heron of Alexandria (or Hero) who proved it in his work Metrica, though it was probably known centuries earlier.
In Heron's formula, what does the variable s represent?
The variable s represents the semiperimeter of the triangle, calculated as $s = \frac{1}{2}(a + b + c)$.
What is the area of the triangle in the given example?
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What are the side lengths of the triangle in the given example?
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Study Notes
Heron's Formula
- Heron's formula for finding the area A of a triangle is: A = √(s(s-a)(s-b)(s-c)), where a, b, and c are the sides of the triangle.
- Heron's formula is named after Hero of Alexandria, a Greek mathematician and engineer, who proved it around 60 AD.
- In Heron's formula, the variable s represents the semi-perimeter of the triangle, calculated by: s = (a + b + c) / 2.
Example Triangle
- The area of the triangle in the given example is calculated using Heron's formula.
- The side lengths of the triangle in the given example are a, b, and c.
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Description
Test your knowledge of Heron's formula, which calculates the area of a triangle using its side lengths. Learn about its origin and applications in geometry.
