Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 48   b = 89   c = 127.2722194826

Area: T = 1527.266633791
Perimeter: p = 264.2722194826
Semiperimeter: s = 132.1366097413

Angle ∠ A = α = 15.64442096986° = 15°38'39″ = 0.27330429681 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 134.3565790301° = 134°21'21″ = 2.34549509099 rad

Height: ha = 63.6366097413
Height: hb = 34.32105918632
Height: hc = 24

Median: ma = 107.1621587278
Median: mb = 85.26993132839
Median: mc = 32.60328695984

Inradius: r = 11.55882824664
Circumradius: R = 89

Vertex coordinates: A[127.2722194826; 0] B[0; 0] C[41.56992193817; 24]
Centroid: CG[56.28804714025; 8]
Coordinates of the circumscribed circle: U[63.6366097413; -62.22109539146]
Coordinates of the inscribed circle: I[43.1366097413; 11.55882824664]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.3565790301° = 164°21'21″ = 0.27330429681 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 45.64442096986° = 45°38'39″ = 2.34549509099 rad

How did we calculate this triangle?

1. Use 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     