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Input any one value, and the calculator will determine the sides, area, perimeter, altitude, and semi-perimeter of the equilateral triangle.
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The Equilateral Triangle Calculator allows you to compute key properties of an equilateral triangle, including area, height, perimeter, and semiperimeter, quickly and accurately.
An equilateral triangle is a type of triangle where all three sides are equal, and all three interior angles measure 60°. This triangle is also called a regular triangle. Key features include:
You can calculate the area in two common ways:
Method 1: Using Base and Height
Area = 1/2 × Base × Height
Method 2: Using Side Length
If the side length is a, then:
Area = (√3 / 4) × a²
The height can be found using the formula:
Height = (Side × √3) / 2
Find the height, area, perimeter, and semiperimeter of an equilateral triangle with side length a = 4 cm.
Solution:
Side: a = 4 cm
Area formula: A = (√3 / 4) × a²
Substitute a = 4:
A = (√3 / 4) × 4² = (√3 / 4) × 16 = 4√3 ≈ 6.928 cm²
Height: h = (a × √3) / 2
h = (4 × √3) / 2 = 2√3 ≈ 3.464 cm
Perimeter: P = 3a = 3 × 4 = 12 cm
Semiperimeter: s = 3a / 2 = 12 / 2 = 6 cm
You can also use the Equilateral Triangle Calculator to instantly determine all these properties.
Follow these steps to compute measurements efficiently:
Input:
Output:
From Wikipedia: Equilateral Triangle
From Study.com: Definition and Properties of Equilateral Triangles
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