Heron's Formula Quiz
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Questions and Answers

What is the formula to calculate the area of a triangle when the lengths of all three sides are known?

  • A = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter, and a, b, c are the side lengths (correct)
  • A = a * b * sin(C), where a, b are side lengths and C is the included angle
  • A = 1/2 * base * height
  • A = 1/2 * (a + b + c), where a, b, c are the side lengths

    • What is the semi-perimeter of a triangle with side lengths 7 cm, 24 cm, and 25 cm?

  • 28 cm
  • 32 cm
  • 35 cm
  • 33 cm (correct)

    • In a triangle, if the lengths of two sides are 10 cm and 12 cm, and the included angle is 60 degrees, what is the area of the triangle?

  • 50√3 cm²
  • 60 cm²
  • 72 cm²
  • 30√3 cm² (correct)

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