Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 14.6   b = 23.51550901461   c = 32.99220856462

Area: T = 151.5676923355
Perimeter: p = 71.10771757923
Semiperimeter: s = 35.55435878962

Angle ∠ A = α = 23° = 0.4011425728 rad
Angle ∠ B = β = 39° = 0.68106784083 rad
Angle ∠ C = γ = 118° = 2.05994885174 rad

Height: ha = 20.76325922404
Height: hb = 12.89110348557
Height: hc = 9.18880777093

Median: ma = 27.70325015104
Median: mb = 22.64402074084
Median: mc = 10.53328202999

Inradius: r = 4.26330556386
Circumradius: R = 18.68329240563

Vertex coordinates: A[32.99220856462; 0] B[0; 0] C[11.34663310373; 9.18880777093]
Centroid: CG[14.77994722278; 3.06326925698]
Coordinates of the circumscribed circle: U[16.49660428231; -8.77111015541]
Coordinates of the inscribed circle: I[12.038849775; 4.26330556386]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157° = 0.4011425728 rad
∠ B' = β' = 141° = 0.68106784083 rad
∠ C' = γ' = 62° = 2.05994885174 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     