Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 7.8   b = 10.13882949686   c = 8.80326320116

Area: T = 33.16604894372
Perimeter: p = 26.74109269801
Semiperimeter: s = 13.37704634901

Angle ∠ A = α = 48° = 0.8387758041 rad
Angle ∠ B = β = 75° = 1.3098996939 rad
Angle ∠ C = γ = 57° = 0.99548376736 rad

Height: ha = 8.50326895993
Height: hb = 6.542163043
Height: hc = 7.53442214451

Median: ma = 8.65659619685
Median: mb = 6.59329438757
Median: mc = 7.90219573431

Inradius: r = 2.48801301362
Circumradius: R = 5.24879676455

Vertex coordinates: A[8.80326320116; 0] B[0; 0] C[2.01987885518; 7.53442214451]
Centroid: CG[3.60771401878; 2.51114071484]
Coordinates of the circumscribed circle: U[4.40113160058; 2.85882480342]
Coordinates of the inscribed circle: I[3.23221685215; 2.48801301362]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132° = 0.8387758041 rad
∠ B' = β' = 105° = 1.3098996939 rad
∠ C' = γ' = 123° = 0.99548376736 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     