# Equilateral triangle calculator

An equilateral triangle is a triangle where all three sides have the same length, and all three angles are also congruent and measure 60 degrees each.If you know the length of one side of an equilateral triangle (a), you can use that information to find the perimeter (p) of the triangle: p = 3a

You can also use the side length to find the area of the triangle using the formula:

Area = (√3/4) * a

^{2}

You can also use the side length to find the height (h) or the inradius (r) of the triangle:

h = (a√3)/2

r = a/(2√3)

If you know the area of an equilateral triangle, you can use that information to find the length of one side (a) using this formula:

Area = (√3/4) * a

^{2}

You can also use the area to find the height (h) or inradius (r) of the triangle:

h = (2 * √(3 * area))/a

r = √((2 * area)/√3)

If you know the height (h) of an equilateral triangle, you can use that information to find the length of one side (a) using this formula:

a = (2 * h)/√3

Calculate an equilateral triangle by:

### An equilateral triangle in word problems in mathematics:

- Triangle

Can an equilateral triangle have a right angle? - Calculate

Calculate the length of a side of the equilateral triangle with an area of 50cm². - Equilateral triangle

Find the area of an equilateral triangle with a side of 15 cm. - Height

Calculate the height of the equilateral triangle if its perimeter is 48. - An equilateral triangle

The perimeter of an equilateral triangle is 33cm. How long is each side? - Circumference 47983

What is the area of an equilateral triangle with a circumference of 63 cm? - Equilateral 37341

Calculate an equilateral triangle's perimeter and area with a side of 20 dm. - Triangular numbers

The first four triangular numbers are 1,3,6,10. What is the 10th triangular number? Help: A triangular number or triangle number counts objects arranged in an equilateral triangle. - Equilateral triangle

The equilateral triangle has a 23 cm long side. Calculate its area. - Equilateral triangle v2

An equilateral triangle has a perimeter 36 dm. What is its area? - Semicircle

The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC? - Equilateral triangle

Calculate the area of an equilateral triangle with a circumference of 72cm. - Funnel

The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - The perimeter 12

The perimeter of an equilateral triangle is 41.46 inches. If the length of each side is (q - 5.7), what is the value of q? - Height UT

How long is the height in the equilateral triangle with a side e = 15?

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#### Look also at our friend's collection of math problems and questions:

- Equilateral triangle
- triangle
- right triangle
- Heron's formula
- The Law of Sines
- The Law of Cosines
- Pythagorean theorem
- triangle inequality
- similarity of triangles
- The right triangle altitude theorem