# Area and Perimeter

# Equilateral Triangle - Metric

Calculate the area and perimeter of an equilateral triangle.

This calculator uses metres for measurements.

Equilateral triangle = a triangle with three sides of the same length.

### Equilateral Triangle Area and Perimeter

#### Calculation

- the length of a side in metres
- decimal precision, the number of digits after the decimal point

#### Results

- the height of the equilateral triangle in metres
- the area of the equilateral triangle in square metres
- the area in square feet
- the area in square inches
- the perimeter of the equilateral triangle in metres
- the perimeter in feet
- the perimeter in inches

##### Formula

A = ab/4
P = 𝛑R(1+(3H)/(10+√(4-3*H)))
where A is the area of the equilateral triangle
a length of the short diameter
b length of the long diameter
P the perimeter of the ellipse
𝛑 = 3.14159265
R = (a+b)/2
S = (a-b)/2
H = R²/S²

##### Conversions

one metre (m) = 3.28083989501312 feet (ft)
one metre (m) = 39.3700787401575 inches (in)
one square metre (m²) = 10.7639104167097 square feet (ft²)
one square metre (m²) = 1550.0031000062 square inches (in²)

### Area and Perimeter of Various Shapes

### Changing the shape of an Area

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