Triangle calculator

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

Right scalene triangle.

Sides: a = 2.75884447974   b = 1.16657691454   c = 2.5

Area: T = 1.45772114317
Perimeter: p = 6.42442139428
Semiperimeter: s = 3.21221069714

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 65° = 1.13444640138 rad

Height: ha = 1.05765456544
Height: hb = 2.5
Height: hc = 1.16657691454

Median: ma = 1.37992223987
Median: mb = 2.5677051699
Median: mc = 1.70992447748

Inradius: r = 0.4543662174
Circumradius: R = 1.37992223987

Vertex coordinates: A[2.5; 0] B[0; 0] C[2.5; 1.16657691454]
Centroid: CG[1.66766666667; 0.38985897151]
Coordinates of the circumscribed circle: U[1.25; 0.58328845727]
Coordinates of the inscribed circle: I[2.0466337826; 0.4543662174]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 115° = 1.13444640138 rad

How did we calculate this triangle?

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