Triangle calculator

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

Right scalene triangle.

Sides: a = 76.4   b = 39.3   c = 85.91553653312

Area: T = 1501.26
Perimeter: p = 201.6155365331
Semiperimeter: s = 100.8087682666

Angle ∠ A = α = 62.7798805124° = 62°46'44″ = 1.09656968499 rad
Angle ∠ B = β = 27.2211194876° = 27°13'16″ = 0.47550994769 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 39.3
Height: hb = 76.4
Height: hc = 34.94774158484

Median: ma = 54.80662952588
Median: mb = 78.88765165919
Median: mc = 42.95876826656

Inradius: r = 14.89223173344
Circumradius: R = 42.95876826656

Vertex coordinates: A[85.91553653312; 0] B[0; 0] C[67.93884878071; 34.94774158484]
Centroid: CG[51.28546177128; 11.64991386161]
Coordinates of the circumscribed circle: U[42.95876826656; -0]
Coordinates of the inscribed circle: I[61.50876826656; 14.89223173344]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 117.2211194876° = 117°13'16″ = 1.09656968499 rad
∠ B' = β' = 152.7798805124° = 152°46'44″ = 0.47550994769 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: side a, b and angle γ. 2. Calculation of the third side c 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     