Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 960   b = 1108.513251684   c = 554.2566258422

Area: T = 266043.0044043
Perimeter: p = 2622.769877527
Semiperimeter: s = 1311.384438763

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 554.2566258422
Height: hb = 480
Height: hc = 960

Median: ma = 733.2122111193
Median: mb = 554.2566258422
Median: mc = 999.2199679744

Inradius: r = 202.8721870789
Circumradius: R = 554.2566258422

Vertex coordinates: A[554.2566258422; 0] B[0; 0] C[-0; 960]
Centroid: CG[184.7522086141; 320]
Coordinates of the circumscribed circle: U[277.1288129211; 480]
Coordinates of the inscribed circle: I[202.8721870789; 202.8721870789]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 150° = 0.52435987756 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     