Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 135   b = 86.77663273077   c = 103.4165999821

Area: T = 4487.033032466
Perimeter: p = 325.1922327129
Semiperimeter: s = 162.5966163564

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 66.47545233283
Height: hb = 103.4165999821
Height: hc = 86.77663273077

Median: ma = 67.5
Median: mb = 112.1499015886
Median: mc = 101.0144099193

Inradius: r = 27.59661635644
Circumradius: R = 67.5

Vertex coordinates: A[103.4165999821; 0] B[0; 0] C[103.4165999821; 86.77663273077]
Centroid: CG[68.94439998807; 28.92554424359]
Coordinates of the circumscribed circle: U[51.70879999105; 43.38881636538]
Coordinates of the inscribed circle: I[75.82198362567; 27.59661635644]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 130° = 0.8732664626 rad

How did we calculate this triangle?

1. Calculate the third unknown inner angle 2. By using the law of sines, we calculate unknown side b 3. By using the law of sines, we calculate last unknown side c 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines     