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Understanding How to Calculate the Area of Triangles

Area of triangles | Year 6 Mathematics

  • Introduction to Triangle Area Calculation: When determining the area of a triangle, a simple formula is applied.
  • Formula Overview: To find the area of a triangle, you multiply the height by the width (referred to as the 'base') and then divide the result by 2.
  • Example Calculation: Let's consider a triangle with a height of 5 cm and a width of 8 cm. To find its area:
    • Step 1: Multiply the height by the width: 5 × 8 = 40
    • Step 2: Divide the result by 2: 40 ÷ 2 = 20
    • Conclusion: Therefore, the area of the triangle is 20 cm2.

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FAQs on Area of triangles - Year 6 Mathematics

1. What is the formula to calculate the area of a triangle?
Ans. The formula to calculate the area of a triangle is 1/2 * base * height.
2. How do you find the base and height of a triangle to calculate its area?
Ans. The base of a triangle can be found by measuring the length of the bottom side, while the height can be found by drawing a perpendicular line from the top vertex to the base.
3. Can you calculate the area of a triangle if only the lengths of the sides are given?
Ans. Yes, you can calculate the area of a triangle if the lengths of the sides are given by using Heron's formula, which takes into account the lengths of all three sides.
4. Is it possible to calculate the area of an equilateral triangle without knowing the base and height?
Ans. Yes, you can calculate the area of an equilateral triangle without knowing the base and height by using the formula A = (s^2 * sqrt(3)) / 4, where s is the length of one side.
5. How can the area of a triangle be used in real-life applications?
Ans. The area of a triangle is commonly used in various real-life applications such as determining the amount of paint needed to cover a triangular wall or calculating the size of a triangular piece of land for construction purposes.
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