Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 38   b = 49   c = 76.89768917557

Area: T = 774.2343741719
Perimeter: p = 163.8976891756
Semiperimeter: s = 81.94884458778

Angle ∠ A = α = 24.26550163073° = 24°15'54″ = 0.42435044276 rad
Angle ∠ B = β = 32° = 0.55985053606 rad
Angle ∠ C = γ = 123.7354983693° = 123°44'6″ = 2.16595828653 rad

Height: ha = 40.7499144301
Height: hb = 31.6011377213
Height: hc = 20.13769320409

Median: ma = 61.61222226579
Median: mb = 55.48325736682
Median: mc = 21.07664562861

Inradius: r = 9.44878148234
Circumradius: R = 46.23334579126

Vertex coordinates: A[76.89768917557; 0] B[0; 0] C[32.22658276539; 20.13769320409]
Centroid: CG[36.37442398032; 6.71223106803]
Coordinates of the circumscribed circle: U[38.44884458778; -25.67658571451]
Coordinates of the inscribed circle: I[32.94884458778; 9.44878148234]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.7354983693° = 155°44'6″ = 0.42435044276 rad
∠ B' = β' = 148° = 0.55985053606 rad
∠ C' = γ' = 56.26550163073° = 56°15'54″ = 2.16595828653 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     