Triangle calculator

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

Acute isosceles triangle.

Sides: a = 164   b = 164   c = 200

Area: T = 12998.46114474
Perimeter: p = 528
Semiperimeter: s = 264

Angle ∠ A = α = 52.42881306803° = 52°25'41″ = 0.9155043501 rad
Angle ∠ B = β = 52.42881306803° = 52°25'41″ = 0.9155043501 rad
Angle ∠ C = γ = 75.14437386394° = 75°8'37″ = 1.31215056515 rad

Height: ha = 158.5187822529
Height: hb = 158.5187822529
Height: hc = 129.9854614474

Median: ma = 163.4754768695
Median: mb = 163.4754768695
Median: mc = 129.9854614474

Inradius: r = 49.23765963917
Circumradius: R = 103.4588398168

Vertex coordinates: A[200; 0] B[0; 0] C[100; 129.9854614474]
Centroid: CG[100; 43.32882048247]
Coordinates of the circumscribed circle: U[100; 26.5266216306]
Coordinates of the inscribed circle: I[100; 49.23765963917]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.572186932° = 127°34'19″ = 0.9155043501 rad
∠ B' = β' = 127.572186932° = 127°34'19″ = 0.9155043501 rad
∠ C' = γ' = 104.8566261361° = 104°51'23″ = 1.31215056515 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     