# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 3405   b = 912.3677000228   c = 3525.11553943

Area: T = 1553304.818789
Perimeter: p = 7842.482239452
Semiperimeter: s = 3921.241119726

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

Height: ha = 912.3677000228
Height: hb = 3405
Height: hc = 881.2798848574

Median: ma = 1931.559890231
Median: mb = 3435.423259202
Median: mc = 1762.558769715

Inradius: r = 396.1265802966
Circumradius: R = 1762.558769715

Vertex coordinates: A[3525.11553943; 0] B[0; 0] C[3288.977743851; 881.2798848574]
Centroid: CG[2271.36442776; 293.7659616191]
Coordinates of the circumscribed circle: U[1762.558769715; 0]
Coordinates of the inscribed circle: I[3008.874419703; 396.1265802966]

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