Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 105   b = 85.77700522846   c = 127.226588761

Area: T = 4469.364360436
Perimeter: p = 317.9965939895
Semiperimeter: s = 158.9987969947

Angle ∠ A = α = 55° = 0.96599310886 rad
Angle ∠ B = β = 42° = 0.73330382858 rad
Angle ∠ C = γ = 83° = 1.44986232792 rad

Height: ha = 85.13107353211
Height: hb = 104.2177345922
Height: hc = 70.25987136677

Median: ma = 94.94884816811
Median: mb = 108.4743903644
Median: mc = 71.72326903769

Inradius: r = 28.11095639513
Circumradius: R = 64.091066591

Vertex coordinates: A[127.226588761; 0] B[0; 0] C[78.03302066751; 70.25987136677]
Centroid: CG[68.41986980951; 23.42195712226]
Coordinates of the circumscribed circle: U[63.61329438051; 7.81106873728]
Coordinates of the inscribed circle: I[73.22879176628; 28.11095639513]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125° = 0.96599310886 rad
∠ B' = β' = 138° = 0.73330382858 rad
∠ C' = γ' = 97° = 1.44986232792 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     