# How to get the height of an equilateral triangle

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## Intermediate Geometry : How to find the height of an equilateral triangle

Height of Isosceles Triangle

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An equilateral triangle has a side length of. What is the triangle's height? What is its height,? These triangles follow a side-length pattern. By way of the Pythagorean Theorem, the longest leg or. Therefore, we can find the height of the altitude of this triangle by designating a value to.

The equilateral triangle calculator will help you with calculations of the regular triangle parameters. Whether you are looking for the equilateral triangle area, its height, perimeter, circumradius or inradius, this great tool is a safe bet. Scroll down to read more about useful formulas and to get to know what is an equilateral triangle. The equilateral triangle, also called a regular triangle, is a triangle with all three sides equal. What are the other important properties of that specific regular shape? The equilateral triangle is a special case of an isosceles triangle having not just two, but all three sides equal.

Quick Math Homework Help. Master the 7 pillars of school success. Improve your grades and lower your stress. Let's look at several more examples of finding the height of an equilateral triangle. Find the height of an equilateral triangle with side lengths of 8 cm.

To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal triangles. Because the triange is a special triangle, we know that the sides are x, x , and 2x, respectively. An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
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To calculate the area of a triangle you need to know its height. To find the height follow these instructions. You must at least have a base to find the height. Solve for h. Therefore, height is equal to 4 , using side b as the base. If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. Cut the triangle in half down the middle, so that c is equal to the original side length, a equals half of the original side length, and b is the height.

## Equilateral Triangle Calculator

In geometry , an equilateral triangle is a triangle in which all three sides are equal. It is also a regular polygon , so it is also referred to as a regular triangle. Denoting the common length of the sides of the equilateral triangle as a , we can determine using the Pythagorean theorem that:.

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