# Equilateral triangle calculator

Please enter one property of the equilateral triangle

Use symbols: a, h, T, p, r, R

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? - 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 v2

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

The equilateral triangle has a 23 cm long side. Calculate 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 83145

Calculate the side of an equilateral triangle if its perimeter is 132 cm. - 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. - Calculate

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

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

- Equilateral triangle
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- 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