Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Acute isosceles triangle.

Sides: a = 487.5   b = 487.5   c = 635

Area: T = 117453.5455338
Perimeter: p = 1610
Semiperimeter: s = 805

Angle ∠ A = α = 49.36216670713° = 49°21'42″ = 0.86215236147 rad
Angle ∠ B = β = 49.36216670713° = 49°21'42″ = 0.86215236147 rad
Angle ∠ C = γ = 81.27766658574° = 81°16'36″ = 1.41985454243 rad

Height: ha = 481.8610698823
Height: hb = 481.8610698823
Height: hc = 369.9322426262

Median: ma = 510.9087587045
Median: mb = 510.9087587045
Median: mc = 369.9322426262

Inradius: r = 145.9055025265
Circumradius: R = 321.2165758783

Vertex coordinates: A[635; 0] B[0; 0] C[317.5; 369.9322426262]
Centroid: CG[317.5; 123.3110808754]
Coordinates of the circumscribed circle: U[317.5; 48.71766674793]
Coordinates of the inscribed circle: I[317.5; 145.9055025265]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.6388332929° = 130°38'18″ = 0.86215236147 rad
∠ B' = β' = 130.6388332929° = 130°38'18″ = 0.86215236147 rad
∠ C' = γ' = 98.72333341426° = 98°43'24″ = 1.41985454243 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     