Triangle calculator

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

Right scalene triangle.

Sides: a = 490   b = 960   c = 1077.822187768

Area: T = 235200
Perimeter: p = 2527.822187768
Semiperimeter: s = 1263.911093884

Angle ∠ A = α = 27.04105239095° = 27°2'26″ = 0.47219461737 rad
Angle ∠ B = β = 62.95994760905° = 62°57'34″ = 1.09988501531 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 960
Height: hb = 490
Height: hc = 436.4365750417

Median: ma = 990.7769902652
Median: mb = 685.9330025586
Median: mc = 538.9110938839

Inradius: r = 186.0899061161
Circumradius: R = 538.9110938839

Vertex coordinates: A[1077.822187768; 0] B[0; 0] C[222.7644080942; 436.4365750417]
Centroid: CG[433.5298652873; 145.4798583472]
Coordinates of the circumscribed circle: U[538.9110938839; 0]
Coordinates of the inscribed circle: I[303.9110938839; 186.0899061161]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.959947609° = 152°57'34″ = 0.47219461737 rad
∠ B' = β' = 117.041052391° = 117°2'26″ = 1.09988501531 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     