Equilateral Triangle Calculator
Calculate all dimensions of an Equilateral Triangle
An equilateral triangle has three sides all of equal length. As a result, all three angles are the same size, namely 60 ° each. For any such triangle, a circle can be drawn that touches every corner, shown here as 'Outer Circle'. Another circle can be drawn that touches the middle of each side, marked in the diagram as 'Inner Circle'. All three have exactly the same centre-point.
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Use Cases:
- Truss Analysis/Design: The equilateral triangle is the most rigid shape because it distributes stress equally. Engineers may use this calculator to determine the lengths of beams in bridge trusses or roof supports.
- Geodesic Domes: Large domes (like Spaceship Earth at Epcot) are composed of hundreds of triangles. Even though the panels aren't all equilateral triangles, they form the "base" mathematics used to derive the others.
- Triangulation: Calculate the distance to a far-off point by measuring a baseline and an angle.
- Landscaping: Determine how much edging or fencing is needed for a triangular garden bed.
- Homework Verification for Students: Check geometry calculations involving trigonometry.
- Delta Loop Antennas: Are you a Ham radio operators wanting to know how to build "Delta Loop" antennae? The total length of the wire is the perimeter of a triangle, so use this tool to calculate the height of the antenna.
Results:
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Enter whatever values are known, select the appropriate units, then click the 'Calculate' button for instant results.