# Equilateral triangle

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

Result

S =  249.415 cm2

#### Solution:

$o=72 \ \text{cm} \ \\ \ \\ a=o/3=72/3=24 \ \text{cm} \ \\ \ \\ S=ah/2 \ \\ h=\sqrt{ 3 }/2 \ a \ \\ \ \\ S=a^2 \cdot \ \sqrt{ 3 }/4=24^2 \cdot \ \sqrt{ 3 }/4 \doteq 144 \ \sqrt{ 3 } \doteq 249.4153 \doteq 249.415 \ \text{cm}^2$

Try calculation via our triangle calculator.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Calculate
Calculate the length of a side of the equilateral triangle with an area of 50cm2.
2. Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its content area.
3. Isosceles triangle
Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
4. Land - isosceles trapezoid
Calculate the content and perimeter of the building plot in the form of an isosceles trapezoid with bases 120m, 95m and height 50m.
5. ISO Triangle V2
Perimeter of RR triangle (isosceles) is 474 m and the base is 48 m longer than the arms. Calculate the area of this triangle.
6. Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm2. Calculate the perimeter of this triangle.
7. RT 11
Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
8. Isosceles right triangle
Contents of an isosceles right triangle is 18 dm2. Calculate the length of its base.
9. Median in right triangle
In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
10. Land
Rectangular triangular land has area 30 square meters and 12 meters long leg. How many meters of the fence do you need for fencing this land?