Heron's Formula Quiz
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Questions and Answers

What is the formula for the semiperimeter of a triangle?

  • $s = \frac{1}{3}(a + b + c)$
  • $s = \frac{1}{2}(a + b + c)$ (correct)
  • $s = \frac{1}{2}(a \times b \times c)$
  • $s = \frac{1}{4}(a + b + c)$
  • What is Heron's formula used for?

  • Determining the angles of a triangle
  • Finding the area of a triangle in terms of its side lengths (correct)
  • Finding the length of the median of a triangle
  • Calculating the perimeter of a triangle
  • What is the area of a triangle using Heron's formula if the semiperimeter is 20 and the side lengths are a = 12, b = 16, and c = 20?

  • $A = 96$
  • $A = 240$
  • $A = 192$
  • $A = 144$ (correct)
  • What type of triangle is characterized by having integer side lengths and area?

    <p>Heronian triangle</p> Signup and view all the answers

    What did Heron of Alexandria (or Hero) prove in his work Metrica?

    <p>Heron's formula for the area of a triangle</p> Signup and view all the answers

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