Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 20   b = 24   c = 26

Area: T = 227.9880262304
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 46.94656106092° = 46°56'44″ = 0.81993554745 rad
Angle ∠ B = β = 61.26443462551° = 61°15'52″ = 1.06992645562 rad
Angle ∠ C = γ = 71.79900431357° = 71°47'24″ = 1.25329726229 rad

Height: ha = 22.79880262304
Height: hb = 18.9988355192
Height: hc = 17.53769432541

Median: ma = 22.93546898824
Median: mb = 19.84994332413
Median: mc = 17.86105710995

Inradius: r = 6.51437217801
Circumradius: R = 13.68553952552

Vertex coordinates: A[26; 0] B[0; 0] C[9.61553846154; 17.53769432541]
Centroid: CG[11.87217948718; 5.84656477514]
Coordinates of the circumscribed circle: U[13; 4.27766860172]
Coordinates of the inscribed circle: I[11; 6.51437217801]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.0544389391° = 133°3'16″ = 0.81993554745 rad
∠ B' = β' = 118.7365653745° = 118°44'8″ = 1.06992645562 rad
∠ C' = γ' = 108.2109956864° = 108°12'36″ = 1.25329726229 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     