हिन्दी में पढ़ेंHome › Formulas › Geometry › Triangles
Triangles formulas
18 formulas for Triangles, from the Geometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Angle sum | A + B + C = 180° | |
| Exterior angle | exterior angle = sum of the two opposite interior angles | |
| Triangle inequality | a + b > c (for every pair) | |
| Pythagoras | c² = a² + b² 🧮 Solve step by step | right angle opposite c |
| Pythagorean triples | (3, 4, 5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29) | |
| Acute / obtuse test | c² < a² + b² acute; c² > a² + b² obtuse | c longest side |
| Area | ½ × base × height | |
| Equilateral triangle | Area = (√3/4)a²; height = (√3/2)a | |
| Equilateral radii | R = a/√3; r = a/(2√3) 🧮 Solve step by step | |
| Isosceles right triangle | hypotenuse = a√2 | |
| 30-60-90 triangle | sides 1 : √3 : 2 | |
| 45-45-90 triangle | sides 1 : 1 : √2 | |
| Apollonius (median) | AB² + AC² = 2(AD² + BD²) | D midpoint of BC |
| Angle bisector theorem | BD / DC = AB / AC | |
| Centroid | divides each median 2 : 1 | |
| Mid-point theorem | segment joining mid-points ∥ third side = half of it | |
| Right triangle altitude | altitude² = product of the hypotenuse segments | |
| Stewart's theorem | b²m + c²n = a(d² + mn) 🧮 Solve step by step | cevian d splits a into m, n |
Open in the interactive Formula Library