193 392 410 triangle

Acute scalene triangle.

Sides: a = 193   b = 392   c = 410

Area: T = 37395.59549737
Perimeter: p = 995
Semiperimeter: s = 497.5

Angle ∠ A = α = 27.7332931358° = 27°43'59″ = 0.48440309634 rad
Angle ∠ B = β = 70.93985016186° = 70°56'19″ = 1.23881104197 rad
Angle ∠ C = γ = 81.32985670235° = 81°19'43″ = 1.41994512705 rad

Height: ha = 387.5199118898
Height: hb = 190.7943851907
Height: hc = 182.4187536457

Median: ma = 389.3219598787
Median: mb = 253.4932603442
Median: mc = 231.1532547033

Inradius: r = 75.16770250728
Circumradius: R = 207.3770413693

Vertex coordinates: A[410; 0] B[0; 0] C[63.03304878049; 182.4187536457]
Centroid: CG[157.6776829268; 60.80658454857]
Coordinates of the circumscribed circle: U[205; 31.26548120941]
Coordinates of the inscribed circle: I[105.5; 75.16770250728]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.2677068642° = 152°16'1″ = 0.48440309634 rad
∠ B' = β' = 109.0611498381° = 109°3'41″ = 1.23881104197 rad
∠ C' = γ' = 98.67114329765° = 98°40'17″ = 1.41994512705 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     