Triangle calculator

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

Right scalene triangle.

Sides: a = 26.50330702185   b = 25.6   c = 6.85994993262

Area: T = 87.80215913758
Perimeter: p = 58.96325695447
Semiperimeter: s = 29.48112847724

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 75° = 1.3098996939 rad
Angle ∠ C = γ = 15° = 0.26217993878 rad

Height: ha = 6.62657675546
Height: hb = 6.85994993262
Height: hc = 25.6

Median: ma = 13.25215351092
Median: mb = 14.52221462259
Median: mc = 25.82987278578

Inradius: r = 2.97882145539
Circumradius: R = 13.25215351092

Vertex coordinates: A[6.85994993262; 0] B[0; 0] C[6.85994993262; 25.6]
Centroid: CG[4.57329995508; 8.53333333333]
Coordinates of the circumscribed circle: U[3.43297496631; 12.8]
Coordinates of the inscribed circle: I[3.88112847724; 2.97882145539]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 105° = 1.3098996939 rad
∠ C' = γ' = 165° = 0.26217993878 rad

How did we calculate this triangle?

1. Input data entered: side b, angle α and angle β. 2. From angle α and angle β we calculate angle γ: 3. From angle α, angle β and side b we calculate side a - By using the law of sines, we calculate unknown side a: 4. 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. 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     