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Heron's Formula in Geometry
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Heron's Formula in Geometry

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Questions and Answers

What is the formula for the area of a triangle using Heron's formula?

  • $A = \frac{1}{2}ab\sin(C)$
  • $A = \sqrt{s(s-a)(s-b)(s-c)}$ (correct)
  • $A = \frac{1}{4}\sqrt{(a^2 + b^2 + c^2)^2 - 2(a^4 + b^4 + c^4)}$
  • $A = \frac{1}{2}bh$
  • What is the semiperimeter of a triangle with side lengths $a = 8$, $b = 15$, and $c = 17$?

  • $s = 21$
  • $s = 26$
  • $s = 25$ (correct)
  • $s = 20$
  • For a triangle with side lengths $a = 3$, $b = 4$, and $c = 5$, what is its area using Heron's formula?

  • $A = 8$
  • $A = 10$
  • $A = 12$
  • $A = 6$ (correct)
  • In Heron's formula, what does 's' represent?

    <p>'s' represents the semiperimeter of the triangle</p> Signup and view all the answers

    For a triangle with side lengths $a = 7$, $b = 24$, and $c = 25$, what is its area using Heron's formula?

    <p>$A=120$</p> Signup and view all the answers

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