# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Obtuse scalene triangle.

Sides: a = 8.6   b = 15.5276710553   c = 18.61987979171

Area: T = 66.29551985441
Perimeter: p = 42.74655084701
Semiperimeter: s = 21.37327542351

Angle ∠ A = α = 27.3° = 27°18' = 0.47664748858 rad
Angle ∠ B = β = 55.9° = 55°54' = 0.97656390519 rad
Angle ∠ C = γ = 96.8° = 96°48' = 1.68994787159 rad

Height: ha = 15.41774880335
Height: hb = 8.54395033697
Height: hc = 7.12113188778

Median: ma = 16.59545529689
Median: mb = 12.24990870186
Median: mc = 8.41875092117

Inradius: r = 3.1021855653
Circumradius: R = 9.37553497806

Vertex coordinates: A[18.61987979171; 0] B[0; 0] C[4.82114953532; 7.12113188778]
Centroid: CG[7.81334310901; 2.37437729593]
Coordinates of the circumscribed circle: U[9.30993989586; -1.11100786183]
Coordinates of the inscribed circle: I[5.8466043682; 3.1021855653]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.7° = 152°42' = 0.47664748858 rad
∠ B' = β' = 124.1° = 124°6' = 0.97656390519 rad
∠ C' = γ' = 83.2° = 83°12' = 1.68994787159 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    