Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 100   b = 120   c = 86.19441833973

Area: T = 4242.641068712
Perimeter: p = 306.1944183397
Semiperimeter: s = 153.0977091699

Angle ∠ A = α = 55.12113330792° = 55°7'17″ = 0.96220487503 rad
Angle ∠ B = β = 79.87986669208° = 79°52'43″ = 1.39441457399 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 84.85328137424
Height: hb = 70.71106781187
Height: hc = 98.44437817008

Median: ma = 91.73217754421
Median: mb = 71.51772610337
Median: mc = 101.6998774266

Inradius: r = 27.71220919806
Circumradius: R = 60.9488491579

Vertex coordinates: A[86.19441833973; 0] B[0; 0] C[17.5733327643; 98.44437817008]
Centroid: CG[34.58991703468; 32.81545939003]
Coordinates of the circumscribed circle: U[43.09770916986; 43.09770916986]
Coordinates of the inscribed circle: I[33.09770916986; 27.71220919806]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.8798666921° = 124°52'43″ = 0.96220487503 rad
∠ B' = β' = 100.1211333079° = 100°7'17″ = 1.39441457399 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     