Triangle calculator

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

Right scalene triangle.

Sides: a = 6020.79772894   b = 500   c = 6000

Area: T = 1500000
Perimeter: p = 12520.79772894
Semiperimeter: s = 6260.39986447

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 4.76436416907° = 4°45'49″ = 0.08331412319 rad
Angle ∠ C = γ = 85.23663583093° = 85°14'11″ = 1.48876550949 rad

Height: ha = 498.2732879122
Height: hb = 6000
Height: hc = 500

Median: ma = 3010.39986447
Median: mb = 6005.206607473
Median: mc = 3041.381126515

Inradius: r = 239.6011355302
Circumradius: R = 3010.39986447

Vertex coordinates: A[6000; 0] B[0; 0] C[6000; 500]
Centroid: CG[4000; 166.6676666667]
Coordinates of the circumscribed circle: U[3000; 250]
Coordinates of the inscribed circle: I[5760.39986447; 239.6011355302]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 175.2366358309° = 175°14'11″ = 0.08331412319 rad
∠ C' = γ' = 94.76436416907° = 94°45'49″ = 1.48876550949 rad

How did we calculate this triangle?

1. Input data entered: side b, c and angle α. 2. Calculation of the third side a of the triangle using a Law of Cosines 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. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     