Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Right scalene triangle.

Sides: a = 45   b = 656   c = 657.5421633663

Area: T = 14760
Perimeter: p = 1358.542163366
Semiperimeter: s = 679.2710816831

Angle ∠ A = α = 3.9244203157° = 3°55'27″ = 0.06884902656 rad
Angle ∠ B = β = 86.0765796843° = 86°4'33″ = 1.50223060612 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 656
Height: hb = 45
Height: hc = 44.89444956315

Median: ma = 656.3865747865
Median: mb = 331.0722499613
Median: mc = 328.7710816831

Inradius: r = 21.72991831686
Circumradius: R = 328.7710816831

Vertex coordinates: A[657.5421633663; 0] B[0; 0] C[3.08796529016; 44.89444956315]
Centroid: CG[220.2077095522; 14.96548318772]
Coordinates of the circumscribed circle: U[328.7710816831; 0]
Coordinates of the inscribed circle: I[23.27108168314; 21.72991831686]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 176.0765796843° = 176°4'33″ = 0.06884902656 rad
∠ B' = β' = 93.9244203157° = 93°55'27″ = 1.50223060612 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. 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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     