The equilateral triangle calculator will help you with calculations of standard 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 (such as for the height of an equilateral triangle) and to get to know what is an equilateral triangle. Show
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.
The formula for a regular triangle area is equal to squared side times square root of 3 divided by 4: area = (a² × √3)/ 4 and the equation for the height of an equilateral triangle looks as follows: h = a × √3 / 2, where a is a side of the triangle. But do you know where the formulas come from? You can find them in at least two ways: deriving from Pythagorean theorem or using trigonometry. 1. Using Pythagorean theorem
2. Using trigonometry
You can easily find the perimeter of an equilateral triangle by adding all triangles sides together. The regular triangle has all sides equal, so the formula for the perimeter is: perimeter = 3 × a How to find the radius of the circle circumscribing the three vertices and the inscribed circle radius? circumcircle_radius = 2 × h / 3 = a × √3 / 3 incircle_radius = h / 3 = a × √3 / 6
Let's take the example from everyday life: we want to find all the parameters of the yield sign.
To find the area of an equilateral triangle, follow the given instructions:
To find the height of an equilateral triangle, proceed as follows:
The perimeter of the given triangle is 24 cm. To calculate the perimeter of an equilateral triangle, we need to multiply its side length by 3. The length of each side of the given triangle is 8 cm. Hence its perimeter will be 3 × 8 cm = 24 cm.
No, a right triangle can't be an equilateral triangle. One of the angles in a right triangle is 90°. Since the sum of all the interior angles in a triangle is 180°, the other two angles in a right triangle are always less than 90°. According to the definition of equilateral triangles, all the internal angles are equal. Hence, a right triangle can never be equilateral. Table of Contents
h = altitude *Length units are for your reference only since the value of the resulting lengths will always be the same no matter what the units are. Calculator UseAn equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. The altitude shown h is hb or, the altitude of b. For equilateral triangles h = ha = hb = hc. If you have any 1 known you can find the other 4 unknowns. So if you know the length of a side = a, or the perimeter = P, or the semiperimeter = s, or the area = K, or the altitude = h, you can calculate the other values. Below are the 5 different choices of calculations you can make with this equilateral triangle calculator. Let us know if you have any other suggestions! Formulas and Calculations for a equilateral triangle:
For more information on triangles see: Weisstein, Eric W. "Equilateral Triangle." From MathWorld--A Wolfram Web Resource. Equilateral Triangle. Weisstein, Eric W. "Altitude." From MathWorld--A Wolfram Web Resource. Altitude. The equilateral triangle calculator will help you with calculations of standard 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 (such as for the height of an equilateral triangle) 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. The formula for a regular triangle area is equal to squared side times square root of 3 divided by 4: area = (a² × √3)/ 4 and the equation for the height of an equilateral triangle looks as follows: h = a × √3 / 2, where a is a side of the triangle. But do you know where the formulas come from? You can find them in at least two ways: deriving from Pythagorean theorem or using trigonometry. 1. Using Pythagorean theorem
2. Using trigonometry
You can easily find the perimeter of an equilateral triangle by adding all triangles sides together. The regular triangle has all sides equal, so the formula for the perimeter is: perimeter = 3 × a How to find the radius of the circle circumscribing the three vertices and the inscribed circle radius? circumcircle_radius = 2 × h / 3 = a × √3 / 3 incircle_radius = h / 3 = a × √3 / 6 Let's take the example from everyday life: we want to find all the parameters of the yield sign.
To find the area of an equilateral triangle, follow the given instructions:
To find the height of an equilateral triangle, proceed as follows:
The perimeter of the given triangle is 24 cm. To calculate the perimeter of an equilateral triangle, we need to multiply its side length by 3. The length of each side of the given triangle is 8 cm. Hence its perimeter will be 3 × 8 cm = 24 cm. No, a right triangle can't be an equilateral triangle. One of the angles in a right triangle is 90°. Since the sum of all the interior angles in a triangle is 180°, the other two angles in a right triangle are always less than 90°. According to the definition of equilateral triangles, all the internal angles are equal. Hence, a right triangle can never be equilateral. Table of Contents
h = altitude *Length units are for your reference only since the value of the resulting lengths will always be the same no matter what the units are. Calculator UseAn equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. The altitude shown h is hb or, the altitude of b. For equilateral triangles h = ha = hb = hc. If you have any 1 known you can find the other 4 unknowns. So if you know the length of a side = a, or the perimeter = P, or the semiperimeter = s, or the area = K, or the altitude = h, you can calculate the other values. Below are the 5 different choices of calculations you can make with this equilateral triangle calculator. Let us know if you have any other suggestions! Formulas and Calculations for a equilateral triangle:
For more information on triangles see: Weisstein, Eric W. "Equilateral Triangle." From MathWorld--A Wolfram Web Resource. Equilateral Triangle. Weisstein, Eric W. "Altitude." From MathWorld--A Wolfram Web Resource. Altitude. The equilateral triangle calculator will help you with calculations of standard 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 (such as for the height of an equilateral triangle) 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. The formula for a regular triangle area is equal to squared side times square root of 3 divided by 4: area = (a² × √3)/ 4 and the equation for the height of an equilateral triangle looks as follows: h = a × √3 / 2, where a is a side of the triangle. But do you know where the formulas come from? You can find them in at least two ways: deriving from Pythagorean theorem or using trigonometry. 1. Using Pythagorean theorem
2. Using trigonometry
You can easily find the perimeter of an equilateral triangle by adding all triangles sides together. The regular triangle has all sides equal, so the formula for the perimeter is: perimeter = 3 × a How to find the radius of the circle circumscribing the three vertices and the inscribed circle radius? circumcircle_radius = 2 × h / 3 = a × √3 / 3 incircle_radius = h / 3 = a × √3 / 6 Let's take the example from everyday life: we want to find all the parameters of the yield sign.
To find the area of an equilateral triangle, follow the given instructions:
To find the height of an equilateral triangle, proceed as follows:
The perimeter of the given triangle is 24 cm. To calculate the perimeter of an equilateral triangle, we need to multiply its side length by 3. The length of each side of the given triangle is 8 cm. Hence its perimeter will be 3 × 8 cm = 24 cm. No, a right triangle can't be an equilateral triangle. One of the angles in a right triangle is 90°. Since the sum of all the interior angles in a triangle is 180°, the other two angles in a right triangle are always less than 90°. According to the definition of equilateral triangles, all the internal angles are equal. Hence, a right triangle can never be equilateral. Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now |