Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 31   b = 48.40217820968   c = 46.68658828163

Area: T = 695.5998938832
Perimeter: p = 126.0887664913
Semiperimeter: s = 63.04438324565

Angle ∠ A = α = 38° = 0.66332251158 rad
Angle ∠ B = β = 74° = 1.29215436465 rad
Angle ∠ C = γ = 68° = 1.18768238914 rad

Height: ha = 44.87773508924
Height: hb = 28.74326994916
Height: hc = 29.79991125741

Median: ma = 44.95444445215
Median: mb = 31.37883794934
Median: mc = 33.27112088973

Inradius: r = 11.03435763504
Circumradius: R = 25.1766173305

Vertex coordinates: A[46.68658828163; 0] B[0; 0] C[8.54547580303; 29.79991125741]
Centroid: CG[18.41102136155; 9.93330375247]
Coordinates of the circumscribed circle: U[23.34329414082; 9.4311160517]
Coordinates of the inscribed circle: I[14.64220503598; 11.03435763504]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142° = 0.66332251158 rad
∠ B' = β' = 106° = 1.29215436465 rad
∠ C' = γ' = 112° = 1.18768238914 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     