Triangles Equilateral ची गणना कशी करावी
Triangles Equilateral म्हणजे काय?
An equilateral triangle calculator computes area, perimeter, height, and circumradius of a triangle with all three sides equal and all angles 60°.
सूत्र
Area = (side² × √3) / 4; Perimeter = 3 × side; Height = (side × √3) / 2
- s
- Side length (units)
- A
- Area (square units)
- h
- Height (units)
चरण-दर-चरण मार्गदर्शक
- 1Area = (√3/4) × s²
- 2Height h = (√3/2) × s
- 3Perimeter = 3s
- 4Circumradius R = s/√3; Inradius r = s/(2√3)
Worked Examples
इनपुट
Equilateral triangle, side 8cm
परिणाम
Area = (√3/4)×64 = 27.71 cm²; Height = 6.93 cm; Perimeter = 24 cm
Frequently Asked Questions
Why is an equilateral triangle special?
All 3 sides equal, all angles 60°. Symmetrical. Most stable triangle shape.
What's the height of a 10-unit equilateral triangle?
(10 × √3) / 2 ≈ 8.66 units.
What's the area of a 6-unit equilateral triangle?
(6² × √3) / 4 = (36 × √3) / 4 ≈ 15.59 square units.