Understanding the Three Key Formulas for Triangles

Learn the essential formulas for calculating the area, perimeter, and more for triangles in geometry.

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The three main formulas for a triangle are: 1) Area = (base * height) / 2, 2) Perimeter = a + b + c, where a, b, and c are the lengths of the sides, and 3) Pythagorean Theorem: a² + b² = c² for right-angled triangles, where c is the hypotenuse. These formulas are crucial for understanding and solving various geometric problems.

FAQs & Answers

  1. What is the formula for the area of a triangle? The area of a triangle is calculated using the formula Area = (base * height) / 2.
  2. How do you calculate the perimeter of a triangle? To find the perimeter of a triangle, simply add the lengths of all three sides: Perimeter = a + b + c.
  3. What is the Pythagorean theorem? The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides: a² + b² = c².

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