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Questions and Answers
What is Heron's formula used for?
What is Heron's formula used for?
- Calculating the perimeter of a triangle
- Determining the angles of a triangle
- Measuring the volume of a triangle
- Finding the area of a triangle in terms of its side lengths (correct)
How is the semiperimeter (s) of a triangle calculated?
How is the semiperimeter (s) of a triangle calculated?
- $s = \frac{1}{4}(a + b + c)$
- $s = \frac{1}{3}(a + b + c)$
- $s = \frac{1}{2}(a \times b \times c)$
- $s = \frac{1}{2}(a + b + c)$ (correct)
In the example provided, why is the triangle considered Heronian?
In the example provided, why is the triangle considered Heronian?
- Because it has equal sides
- Because it has a right angle
- Because the side lengths and area are integers (correct)
- Because it is an equilateral triangle
What did Heron of Alexandria (or Hero) prove in his work Metrica?
What did Heron of Alexandria (or Hero) prove in his work Metrica?
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What is the area (A) of a triangle using Heron's formula if the semiperimeter is 12 and side lengths are 5, 12, and 13?
What is the area (A) of a triangle using Heron's formula if the semiperimeter is 12 and side lengths are 5, 12, and 13?
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