Triangle calculator

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

Right scalene triangle.

Sides: a = 55.89325580794   b = 111.8   c = 124.9932871991

Area: T = 3124.394399664
Perimeter: p = 292.6855430071
Semiperimeter: s = 146.3432715035

Angle ∠ A = α = 26.562° = 26°33'43″ = 0.46435943559 rad
Angle ∠ B = β = 63.438° = 63°26'17″ = 1.10772019709 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 111.8
Height: hb = 55.89325580794
Height: hc = 49.99331547593

Median: ma = 115.2439899827
Median: mb = 79.04992760793
Median: mc = 62.49664359957

Inradius: r = 21.3549843044
Circumradius: R = 62.49664359957

Vertex coordinates: A[124.9932871991; 0] B[0; 0] C[24.9933249606; 49.99331547593]
Centroid: CG[49.99553738658; 16.66443849198]
Coordinates of the circumscribed circle: U[62.49664359957; 0]
Coordinates of the inscribed circle: I[34.54327150354; 21.3549843044]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.438° = 153°26'17″ = 0.46435943559 rad
∠ B' = β' = 116.562° = 116°33'43″ = 1.10772019709 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: side b, angle α, angle γ and height hc. 2. From angle α and angle γ we calculate angle β: 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     