Learn How To Calculate The Height Of An Equilateral Triangle

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Learn How to Calculate the Height of an Equilateral Triangle

An equilateral triangle is a special type of triangle with three equal sides. It is also known as an equiangular triangle and is one of the most basic shapes in geometry. Finding the height of an equilateral triangle is a basic geometry skill that is useful to have.

Understanding the Formula

The formula for finding the height of an equilateral triangle is relatively simple. You simply take the length of one side of the triangle and divide it by two times the square root of three. This formula works because the height of an equilateral triangle is equal to the length of one side multiplied by the square root of three divided by two.

Calculating the Height

To use the formula, you must first know the length of one side of the triangle. Let's say that the length of one side is 5 cm. Using the formula, we can find the height of the triangle. The equation is as follows: 5 cm / 2 x √3 = 2.6 cm. This is the height of the triangle.

Using the Height to Calculate the Area

Once you know the height of the triangle, you can use it to calculate the area. The formula for the area of an equilateral triangle is (base x height) / 2. Using the previous example, the base is 5 cm and the height is 2.6 cm. Plugging this into the equation gives us (5 cm x 2.6 cm) / 2 = 6.5 cm2. This is the area of the triangle.

Conclusion

Calculating the height of an equilateral triangle is a basic geometry skill that is easy to learn. All you need to do is take the length of one side of the triangle and divide it by two times the square root of three. Once you know the height, you can use it to calculate the area of the triangle. With practice, you will be able to quickly and easily calculate the height and area of an equilateral triangle.

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