Calculators›Geometry›Triangle lines and centers

Geometry

Triangle lines and centers

Altitudes, angle bisectors, incircle and circumcircle.

Triangle altitude from three sides

hₐ = 2√(p(p−a)(p−b)(p−c)) / a→Geometry

Triangle angle bisector length

lₐ = √(bc((b+c)²−a²)) / (b+c)→Geometry

Triangle inradius

r = S / p→Geometry

Triangle circumradius

R = abc / (4S)→Geometry

Triangle angle bisector theorem

BD = DC·b/c→Geometry

Triangle midline

m = a / 2→Geometry

Isosceles triangle median to base

m = √(b² − (a/2)²)→Geometry

Centroid ratio on a median

AG = 2·GM→Geometry

Triangle exradius rₐ

rₐ = S / (p − a)→Geometry

Triangle exradius rᵦ

rᵦ = S / (p − b)→Geometry

Triangle exradius r𝒸

r𝒸 = S / (p − c)→Geometry

Triangle centroid x-coordinate

xG = (x₁+x₂+x₃)/3→Geometry

Triangle centroid y-coordinate

yG = (y₁+y₂+y₃)/3→