Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 3.2   b = 8.4   c = 10.09112791512

Area: T = 12.36985893084
Perimeter: p = 21.69112791512
Semiperimeter: s = 10.84656395756

Angle ∠ A = α = 16.96773348748° = 16°58'2″ = 0.29661358589 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 113.0332665125° = 113°1'58″ = 1.97327921687 rad

Height: ha = 7.73303683177
Height: hb = 2.94549022163
Height: hc = 2.4511342218

Median: ma = 9.14553243493
Median: mb = 6.19765278547
Median: mc = 3.86554264025

Inradius: r = 1.14404204632
Circumradius: R = 5.48327106152

Vertex coordinates: A[10.09112791512; 0] B[0; 0] C[2.0576920351; 2.4511342218]
Centroid: CG[4.04993998341; 0.81771140727]
Coordinates of the circumscribed circle: U[5.04656395756; -2.1455142644]
Coordinates of the inscribed circle: I[2.44656395756; 1.14404204632]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.0332665125° = 163°1'58″ = 0.29661358589 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 66.96773348748° = 66°58'2″ = 1.97327921687 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     