Triangle calculator SSA

Please enter two sides and a non-included angle
°

Acute scalene triangle.

Sides: a = 85   b = 90   c = 94.2810787943

Area: T = 3470.106619152
Perimeter: p = 269.2810787943
Semiperimeter: s = 134.6440393972

Angle ∠ A = α = 54.87664076349° = 54°52'35″ = 0.95877739949 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 65.12435923651° = 65°7'25″ = 1.13766211075 rad

Height: ha = 81.65495574475
Height: hb = 77.11334709226
Height: hc = 73.61221593217

Median: ma = 81.78113150272
Median: mb = 77.66655231591
Median: mc = 73.7588275849

Inradius: r = 25.77331434762
Circumradius: R = 51.96215242271

Vertex coordinates: A[94.2810787943; 0] B[0; 0] C[42.5; 73.61221593217]
Centroid: CG[45.5943595981; 24.53773864406]
Coordinates of the circumscribed circle: U[47.14403939715; 21.8588253732]
Coordinates of the inscribed circle: I[44.64403939715; 25.77331434762]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.1243592365° = 125°7'25″ = 0.95877739949 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 114.8766407635° = 114°52'35″ = 1.13766211075 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     