Triangle calculator

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

Acute scalene triangle.

Sides: a = 52.15440046522   b = 48   c = 60

Area: T = 1200
Perimeter: p = 160.1544004652
Semiperimeter: s = 80.07770023261

Angle ∠ A = α = 56.44326902381° = 56°26'34″ = 0.98551107833 rad
Angle ∠ B = β = 50.08216182447° = 50°4'54″ = 0.87440891331 rad
Angle ∠ C = γ = 73.47656915172° = 73°28'32″ = 1.28223927372 rad

Height: ha = 46.01875592652
Height: hb = 50
Height: hc = 40

Median: ma = 47.66553957257
Median: mb = 50.83332578203
Median: mc = 40.15499701199

Inradius: r = 14.98655759474
Circumradius: R = 31.29224027913

Vertex coordinates: A[60; 0] B[0; 0] C[33.46770016772; 40]
Centroid: CG[31.15656672257; 13.33333333333]
Coordinates of the circumscribed circle: U[30; 8.99002512579]
Coordinates of the inscribed circle: I[32.07770023261; 14.98655759474]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.5577309762° = 123°33'26″ = 0.98551107833 rad
∠ B' = β' = 129.9188381755° = 129°55'6″ = 0.87440891331 rad
∠ C' = γ' = 106.5244308483° = 106°31'28″ = 1.28223927372 rad

How did we calculate this triangle?

1. Input data entered: side b, c and height hc. 2. From side c we calculate T: 3. From side c and angle α we calculate height hb: 4. 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. 5. The triangle circumference is the sum of the lengths of its three sides 6. Semiperimeter of the triangle 7. The triangle area using Heron's formula 8. Calculate the heights of the triangle from its area. 9. Calculation of the inner angles of the triangle using a Law of Cosines     