Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 21   b = 23   c = 26

Area: T = 230.0433474152
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 50.29879022662° = 50°17'52″ = 0.87878640014 rad
Angle ∠ B = β = 57.42110296072° = 57°25'16″ = 1.00221860265 rad
Angle ∠ C = γ = 72.28110681266° = 72°16'52″ = 1.26215426257 rad

Height: ha = 21.90989023002
Height: hb = 20.00437803611
Height: hc = 17.69656518579

Median: ma = 22.18767077323
Median: mb = 20.64658228221
Median: mc = 17.77663888346

Inradius: r = 6.57326706901
Circumradius: R = 13.64774203912

Vertex coordinates: A[26; 0] B[0; 0] C[11.30876923077; 17.69656518579]
Centroid: CG[12.43658974359; 5.89985506193]
Coordinates of the circumscribed circle: U[13; 4.15435627277]
Coordinates of the inscribed circle: I[12; 6.57326706901]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.7022097734° = 129°42'8″ = 0.87878640014 rad
∠ B' = β' = 122.5798970393° = 122°34'44″ = 1.00221860265 rad
∠ C' = γ' = 107.7198931873° = 107°43'8″ = 1.26215426257 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     