10 23 30 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 23   c = 30

Area: T = 92.92443644046
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 15.62553527918° = 15°37'31″ = 0.2732713853 rad
Angle ∠ B = β = 38.27993217379° = 38°16'46″ = 0.66881001998 rad
Angle ∠ C = γ = 126.095532547° = 126°5'43″ = 2.20107786008 rad

Height: ha = 18.58548728809
Height: hb = 8.08803795134
Height: hc = 6.1954957627

Median: ma = 26.2588332011
Median: mb = 19.17768089108
Median: mc = 9.46604439642

Vertex coordinates: A[30; 0] B[0; 0] C[7.85; 6.1954957627]
Centroid: CG[12.61766666667; 2.06549858757]
Coordinates of the circumscribed circle: U[15; -10.93663137054]
Coordinates of the inscribed circle: I[8.5; 2.95499798224]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.3754647208° = 164°22'29″ = 0.2732713853 rad
∠ B' = β' = 141.7210678262° = 141°43'14″ = 0.66881001998 rad
∠ C' = γ' = 53.90546745297° = 53°54'17″ = 2.20107786008 rad

How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 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    