How To Find The Height Of An Equilateral Triangle
How to Find the Height of an Equilateral Triangle
What is an Equilateral Triangle?
An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60°. It is an example of a regular polygon, which means that all sides and angles are the same. This type of triangle is often used in geometry and trigonometry.
How to Find the Height of an Equilateral Triangle
To find the height of an equilateral triangle, you need to know the length of one side. The height is equal to the length of one side times the square root of three, divided by two. This formula is also known as the Pythagorean Theorem.
Step-By-Step Guide
Follow these steps to calculate the height of an equilateral triangle:
- Step 1 - Determine the length of one side of the triangle.
- Step 2 - Multiply the length of the side by the square root of three.
- Step 3 - Divide the result by two.
- Step 4 - This is the height of the triangle.
Example
Let's say you have an equilateral triangle with a side length of 6 cm. To find the height of this triangle, you would use this formula: 6 x √3 / 2. The result is 5 cm, which is the height of the triangle.
Conclusion
Finding the height of an equilateral triangle is easy if you know the length of one side. Use the formula above to calculate the height of any equilateral triangle quickly and accurately.
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