# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Acute scalene triangle.

Sides: a = 68   b = 57.66554474838   c = 81.99106482914

Area: T = 1936.487666459
Perimeter: p = 207.6566095775
Semiperimeter: s = 103.8288047888

Angle ∠ A = α = 55° = 0.96599310886 rad
Angle ∠ B = β = 44° = 0.76879448709 rad
Angle ∠ C = γ = 81° = 1.41437166941 rad

Height: ha = 56.9555490135
Height: hb = 67.16328071605
Height: hc = 47.23767691912

Median: ma = 62.19223236451
Median: mb = 69.5843814535
Median: mc = 47.89660887228

Inradius: r = 18.65109012159
Circumradius: R = 41.50663360179

Vertex coordinates: A[81.99106482914; 0] B[0; 0] C[48.9155106423; 47.23767691912]
Centroid: CG[43.63552515715; 15.74655897304]
Coordinates of the circumscribed circle: U[40.99553241457; 6.49330214707]
Coordinates of the inscribed circle: I[46.16326004038; 18.65109012159]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125° = 0.96599310886 rad
∠ B' = β' = 136° = 0.76879448709 rad
∠ C' = γ' = 99° = 1.41437166941 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    