How to work out area of a triangle?
Understand the Problem
The question is asking for the formula or method to calculate the area of a triangle. It implies the need to understand the basic geometric principles involved in finding the area based on different variables like base and height.
Answer
A = \frac{1}{2} imes b imes h
Answer for screen readers
To find the area of a triangle, use the formula: $ A = \frac{1}{2} imes b imes h $, where $b$ is the base and $h$ is the height.
Steps to Solve
-
Identify the base and height of the triangle
To find the area, you should know the base (b) and the height (h) of the triangle. The base is any one of the sides of the triangle, and the height is the perpendicular distance from this base to the opposite vertex.
- Use the area formula
The formula to calculate the area of a triangle is: $$ A = \frac{1}{2} imes b imes h $$ where $A$ is the area, $b$ is the base, and $h$ is the height.
- Insert the base and height into the formula
Plug in the values for the base and height into the formula. For instance, if the base is 5 units and the height is 4 units: $$ A = \frac{1}{2} imes 5 imes 4 $$
- Calculate the area
Perform the multiplication and division: $$ A = \frac{1}{2} imes 20 = 10 $$ So, the area of the triangle is 10 square units.
To find the area of a triangle, use the formula: $ A = \frac{1}{2} imes b imes h $, where $b$ is the base and $h$ is the height.
More Information
This formula is derived from the fact that every triangle is half of a parallelogram. A fun fact is that this formula works for all types of triangles, whether they are scalene, isosceles, or equilateral.
Tips
A common mistake is not using the perpendicular height when calculating the area. Ensure that the height is perpendicular to the base.
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