Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 18   b = 22   c = 24

Area: T = 189.3154553059
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 45.81656148467° = 45°48'56″ = 0.87996333279 rad
Angle ∠ B = β = 61.21877953194° = 61°13'4″ = 1.06884520891 rad
Angle ∠ C = γ = 72.96765898339° = 72°58' = 1.27435072366 rad

Height: ha = 21.03549503399
Height: hb = 17.21104139145
Height: hc = 15.77662127549

Median: ma = 21.19896201004
Median: mb = 18.13883571472
Median: mc = 16.12545154966

Inradius: r = 5.91660797831
Circumradius: R = 12.55105406827

Vertex coordinates: A[24; 0] B[0; 0] C[8.66766666667; 15.77662127549]
Centroid: CG[10.88988888889; 5.2598737585]
Coordinates of the circumscribed circle: U[12; 3.67664210081]
Coordinates of the inscribed circle: I[10; 5.91660797831]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.1844385153° = 134°11'4″ = 0.87996333279 rad
∠ B' = β' = 118.7822204681° = 118°46'56″ = 1.06884520891 rad
∠ C' = γ' = 107.0333410166° = 107°2' = 1.27435072366 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     