Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 15.2   b = 13.80658534981   c = 23.4810532122

Area: T = 99.78991166859
Perimeter: p = 52.48663856201
Semiperimeter: s = 26.24331928101

Angle ∠ A = α = 38° = 0.66332251158 rad
Angle ∠ B = β = 34° = 0.59334119457 rad
Angle ∠ C = γ = 108° = 1.88549555922 rad

Height: ha = 13.13301469324
Height: hb = 14.45660590477
Height: hc = 8.54997321328

Median: ma = 17.69876973014
Median: mb = 18.53547591477
Median: mc = 8.54332399136

Inradius: r = 3.80224762234
Circumradius: R = 12.34444462657

Vertex coordinates: A[23.4810532122; 0] B[0; 0] C[12.60113711028; 8.54997321328]
Centroid: CG[12.0277301075; 2.83332440443]
Coordinates of the circumscribed circle: U[11.7440266061; -3.81546436822]
Coordinates of the inscribed circle: I[12.4377339312; 3.80224762234]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142° = 0.66332251158 rad
∠ B' = β' = 146° = 0.59334119457 rad
∠ C' = γ' = 72° = 1.88549555922 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     