Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 21   b = 24   c = 27

Area: T = 241.495534157
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 48.19896851042° = 48°11'23″ = 0.84110686706 rad
Angle ∠ B = β = 58.41218644948° = 58°24'43″ = 1.01994793577 rad
Angle ∠ C = γ = 73.3988450401° = 73°23'54″ = 1.28110446254 rad

Height: ha = 232.99955634
Height: hb = 20.12546117975
Height: hc = 17.889854382

Median: ma = 23.28662620444
Median: mb = 21
Median: mc = 18.06223918682

Inradius: r = 6.70882039325
Circumradius: R = 14.08772282582

Vertex coordinates: A[27; 0] B[0; 0] C[11; 17.889854382]
Centroid: CG[12.66766666667; 5.963284794]
Coordinates of the circumscribed circle: U[13.5; 4.02549223595]
Coordinates of the inscribed circle: I[12; 6.70882039325]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.8110314896° = 131°48'37″ = 0.84110686706 rad
∠ B' = β' = 121.5888135505° = 121°35'17″ = 1.01994793577 rad
∠ C' = γ' = 106.6021549599° = 106°36'6″ = 1.28110446254 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     