12 29 30 triangle

Acute scalene triangle.

Sides: a = 12   b = 29   c = 30

Area: T = 172.698753183
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 23.39111307904° = 23°23'28″ = 0.40882522481 rad
Angle ∠ B = β = 73.62437104336° = 73°37'25″ = 1.28549761546 rad
Angle ∠ C = γ = 82.98551587759° = 82°59'7″ = 1.44883642509 rad

Height: ha = 28.78329219716
Height: hb = 11.91101746089
Height: hc = 11.51331687886

Median: ma = 28.88877136513
Median: mb = 17.6566443583
Median: mc = 16.35554272338

Vertex coordinates: A[30; 0] B[0; 0] C[3.38333333333; 11.51331687886]
Centroid: CG[11.12877777778; 3.83877229295]
Coordinates of the circumscribed circle: U[15; 1.84657125393]
Coordinates of the inscribed circle: I[6.5; 4.86547192065]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.609886921° = 156°36'32″ = 0.40882522481 rad
∠ B' = β' = 106.3766289566° = 106°22'35″ = 1.28549761546 rad
∠ C' = γ' = 97.01548412241° = 97°53″ = 1.44883642509 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    