Triangle calculator

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

Right scalene triangle.

Sides: a = 606.2   b = 625.2109916748   c = 153

Area: T = 46374.3
Perimeter: p = 1384.410991675
Semiperimeter: s = 692.2054958374

Angle ∠ A = α = 75.8354842357° = 75°50'5″ = 1.32435676869 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 14.1655157643° = 14°9'55″ = 0.24772286399 rad

Height: ha = 153
Height: hb = 148.3487934854
Height: hc = 606.2

Median: ma = 339.5277038688
Median: mb = 312.6054958374
Median: mc = 611.0087929572

Inradius: r = 66.9955041626
Circumradius: R = 312.6054958374

Vertex coordinates: A[153; 0] B[0; 0] C[-0; 606.2]
Centroid: CG[51; 202.0676666667]
Coordinates of the circumscribed circle: U[76.5; 303.1]
Coordinates of the inscribed circle: I[66.9955041626; 66.9955041626]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 104.1655157643° = 104°9'55″ = 1.32435676869 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 165.8354842357° = 165°50'5″ = 0.24772286399 rad

How did we calculate this triangle?

1. Input data entered: side a, c and angle β. 2. 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. 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     