Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 188   b = 726.3766221369   c = 701.6265551823

Area: T = 65952.80218714
Perimeter: p = 1616.002177319
Semiperimeter: s = 808.0010886596

Angle ∠ A = α = 15° = 0.26217993878 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 75° = 1.3098996939 rad

Height: ha = 701.6265551823
Height: hb = 181.5944055342
Height: hc = 188

Median: ma = 707.8944352973
Median: mb = 363.1888110685
Median: mc = 398.012206482

Inradius: r = 81.62546652268
Circumradius: R = 363.1888110685

Vertex coordinates: A[701.6265551823; 0] B[0; 0] C[-0; 188]
Centroid: CG[233.8755183941; 62.66766666667]
Coordinates of the circumscribed circle: U[350.8132775912; 94]
Coordinates of the inscribed circle: I[81.62546652268; 81.62546652268]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165° = 0.26217993878 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 105° = 1.3098996939 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     