How to Calculate the Area of a Triangle Given Three Sides

Learn to calculate the area of a triangle using Heron's formula with three side lengths and no angles.

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To find the area of a triangle with 3 sides: Use Heron's formula. First, calculate the semi-perimeter (s) as follows: s = (a + b + c) / 2. Then, use the formula: Area = √[s (s - a) (s - b) * (s - c)], where a, b, and c are the lengths of the triangle's sides.

FAQs & Answers

  1. What is Heron's formula? Heron's formula is a method to calculate the area of a triangle when the lengths of all three sides are known.
  2. How do you find the semi-perimeter of a triangle? The semi-perimeter (s) is found by adding the lengths of the three sides and dividing by 2: s = (a + b + c) / 2.
  3. Can Heron's formula be used for any triangle? Yes, Heron's formula can be used for any triangle as long as you know the lengths of all three sides.
  4. What are the steps to calculate the area using Heron's formula? First, calculate the semi-perimeter (s), then apply the formula: Area = √[s(s - a)(s - b)(s - c)].

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