Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 13   b = 14   c = 20

Area: T = 90.57883500623
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 40.31549091747° = 40°18'54″ = 0.70436279027 rad
Angle ∠ B = β = 44.16773564515° = 44°10'2″ = 0.7710865792 rad
Angle ∠ C = γ = 95.51877343738° = 95°31'4″ = 1.66770989589 rad

Height: ha = 13.93551307788
Height: hb = 12.94397642946
Height: hc = 9.05878350062

Median: ma = 15.99221855917
Median: mb = 15.34660092532
Median: mc = 9.08329510623

Inradius: r = 3.8544397875
Circumradius: R = 10.04765508521

Vertex coordinates: A[20; 0] B[0; 0] C[9.325; 9.05878350062]
Centroid: CG[9.775; 3.01992783354]
Coordinates of the circumscribed circle: U[10; -0.9666014505]
Coordinates of the inscribed circle: I[9.5; 3.8544397875]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.6855090825° = 139°41'6″ = 0.70436279027 rad
∠ B' = β' = 135.8332643548° = 135°49'58″ = 0.7710865792 rad
∠ C' = γ' = 84.48222656262° = 84°28'56″ = 1.66770989589 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     