Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 8.7   b = 7.3055314688   c = 8.91101527297

Area: T = 29.25219126745
Perimeter: p = 24.91554674177
Semiperimeter: s = 12.45877337088

Angle ∠ A = α = 64° = 1.11770107213 rad
Angle ∠ B = β = 49° = 0.85552113335 rad
Angle ∠ C = γ = 67° = 1.16993705988 rad

Height: ha = 6.72545776263
Height: hb = 8.0088392225
Height: hc = 6.56659733479

Median: ma = 6.88988839574
Median: mb = 8.01223969672
Median: mc = 6.68443927121

Inradius: r = 2.34880926273
Circumradius: R = 4.84398184411

Vertex coordinates: A[8.91101527297; 0] B[0; 0] C[5.70877135522; 6.56659733479]
Centroid: CG[4.8732622094; 2.18986577826]
Coordinates of the circumscribed circle: U[4.45550763648; 1.89110677212]
Coordinates of the inscribed circle: I[5.15224190208; 2.34880926273]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116° = 1.11770107213 rad
∠ B' = β' = 131° = 0.85552113335 rad
∠ C' = γ' = 113° = 1.16993705988 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     