15.62 7.81 17.46 triangle

Acute scalene triangle.

Sides: a = 15.62   b = 7.81   c = 17.46

Area: T = 60.99660914876
Perimeter: p = 40.89
Semiperimeter: s = 20.445

Angle ∠ A = α = 63.45991668033° = 63°27'33″ = 1.10875714013 rad
Angle ∠ B = β = 26.57111032727° = 26°34'16″ = 0.4643753238 rad
Angle ∠ C = γ = 89.9769729924° = 89°58'11″ = 1.57702680143 rad

Height: ha = 7.81099989101
Height: hb = 15.62199978201
Height: hc = 6.98769520604

Median: ma = 11.0422089929
Median: mb = 16.09987258813
Median: mc = 8.73436905143

Inradius: r = 2.98334234036
Circumradius: R = 8.73300012183

Vertex coordinates: A[17.46; 0] B[0; 0] C[13.97702147766; 6.98769520604]
Centroid: CG[10.47767382589; 2.32989840201]
Coordinates of the circumscribed circle: U[8.73; 0.00546121685]
Coordinates of the inscribed circle: I[12.635; 2.98334234036]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5410833197° = 116°32'27″ = 1.10875714013 rad
∠ B' = β' = 153.4298896727° = 153°25'44″ = 0.4643753238 rad
∠ C' = γ' = 90.0330270076° = 90°1'49″ = 1.57702680143 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     