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 = 1.81330050548   b = 7.47332514563   c = 7.25

Area: T = 6.57221433238
Perimeter: p = 16.53662565111
Semiperimeter: s = 8.26881282556

Angle ∠ A = α = 14.04° = 14°2'24″ = 0.2455044227 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 75.96° = 75°57'36″ = 1.32657520998 rad

Height: ha = 7.25
Height: hb = 1.75988444233
Height: hc = 1.81330050548

Median: ma = 7.30664524109
Median: mb = 3.73766257281
Median: mc = 4.05330991018

Inradius: r = 0.79548767993
Circumradius: R = 3.73766257281

Vertex coordinates: A[7.25; 0] B[0; 0] C[-0; 1.81330050548]
Centroid: CG[2.41766666667; 0.60443350183]
Coordinates of the circumscribed circle: U[3.625; 0.90765025274]
Coordinates of the inscribed circle: I[0.79548767993; 0.79548767993]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.96° = 165°57'36″ = 0.2455044227 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 104.04° = 104°2'24″ = 1.32657520998 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     