Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 120   b = 89.06772638762   c = 136.4598965112

Area: T = 5262.848792029
Perimeter: p = 345.5266228989
Semiperimeter: s = 172.7633114494

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 80° = 1.39662634016 rad

Height: ha = 87.71441320049
Height: hb = 118.1776930361
Height: hc = 77.13545131624

Median: ma = 98.37218116483
Median: mb = 120.529916745
Median: mc = 80.69221709791

Inradius: r = 30.46327983566
Circumradius: R = 69.28220323028

Vertex coordinates: A[136.4598965112; 0] B[0; 0] C[91.92553331743; 77.13545131624]
Centroid: CG[76.12880994289; 25.71215043875]
Coordinates of the circumscribed circle: U[68.22994825562; 12.03106986544]
Coordinates of the inscribed circle: I[83.69658506181; 30.46327983566]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 100° = 1.39662634016 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     