Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 60.5   b = 90   c = 63.71770083485

Area: T = 1925.098821178
Perimeter: p = 214.2177008349
Semiperimeter: s = 107.1098504174

Angle ∠ A = α = 42.17656474933° = 42°10'32″ = 0.73661039129 rad
Angle ∠ B = β = 92.82443525067° = 92°49'28″ = 1.62200905773 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 63.64396103068
Height: hb = 42.78799602618
Height: hc = 60.42765097084

Median: ma = 71.86770026955
Median: mb = 42.83875253305
Median: mc = 69.75107040235

Inradius: r = 17.97333460627
Circumradius: R = 45.05547286801

Vertex coordinates: A[63.71770083485; 0] B[0; 0] C[-2.98110945065; 60.42765097084]
Centroid: CG[20.2455304614; 20.14221699028]
Coordinates of the circumscribed circle: U[31.85985041742; 31.85985041742]
Coordinates of the inscribed circle: I[17.10985041742; 17.97333460627]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.8244352507° = 137°49'28″ = 0.73661039129 rad
∠ B' = β' = 87.17656474933° = 87°10'32″ = 1.62200905773 rad
∠ C' = γ' = 135° = 0.78553981634 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     