Triangle calculator

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

Right scalene triangle.

Sides: a = 51467.90771364   b = 2584   c = 51403

Area: T = 66412676
Perimeter: p = 105454.9077136
Semiperimeter: s = 52727.45435682

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 2.87878042684° = 2°52'40″ = 0.05502271597 rad
Angle ∠ C = γ = 87.12221957316° = 87°7'20″ = 1.52105691671 rad

Height: ha = 2580.741126947
Height: hb = 51403
Height: hc = 2584

Median: ma = 25733.95435682
Median: mb = 51419.23444653
Median: mc = 25831.07696304

Inradius: r = 1259.546643181
Circumradius: R = 25733.95435682

Vertex coordinates: A[51403; 0] B[0; 0] C[51403; 2584]
Centroid: CG[34268.66766667; 861.3333333333]
Coordinates of the circumscribed circle: U[25701.5; 1292]
Coordinates of the inscribed circle: I[50143.45435682; 1259.546643181]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 177.1222195732° = 177°7'20″ = 0.05502271597 rad
∠ C' = γ' = 92.87878042684° = 92°52'40″ = 1.52105691671 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     