How to Find the Height of an Equilateral Triangle

What is an Equilateral Triangle?

An equilateral triangle is a triangle with three equal sides and three equal angles. By definition, all three angles of an equilateral triangle measure 60°. The sides of the triangle are connected by three line segments, and the length of each side is the same. In an equilateral triangle, the length of the sides is the same as the height of the triangle.

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 of its sides. Let's say the length of one side is x. To find the height of the triangle, you need to use the formula: h = √3/2 x. This formula will give you the height of the triangle, which is also equal to the length of the sides.

Example of Finding the Height of an Equilateral Triangle

For example, let's say the length of one side of the triangle is 6 cm. To find the height of the triangle, we can use the formula: h = √3/2 x. In this case, the height of the triangle is: h = √3/2 x 6 = 10.39 cm.

Conclusion

In conclusion, finding the height of an equilateral triangle is a simple process. All you need to know is the length of one side of the triangle and you can use the formula: h = √3/2 x to calculate the height. Once you have the height, you can use it to determine the length of the other two sides of the triangle.