Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 14.2   b = 6.72877614589   c = 19.30769296431

Area: T = 35.94106829789
Perimeter: p = 40.2354691102
Semiperimeter: s = 20.1177345551

Angle ∠ A = α = 33.6° = 33°36' = 0.58664306287 rad
Angle ∠ B = β = 15.2° = 15°12' = 0.26552900463 rad
Angle ∠ C = γ = 131.2° = 131°12' = 2.29898719786 rad

Height: ha = 5.06220680252
Height: hb = 10.68442917063
Height: hc = 3.72330863367

Median: ma = 12.59436552774
Median: mb = 16.61097282506
Median: mc = 5.50110911703

Inradius: r = 1.78765519528
Circumradius: R = 12.83299754662

Vertex coordinates: A[19.30769296431; 0] B[0; 0] C[13.70332342215; 3.72330863367]
Centroid: CG[11.00333879549; 1.24110287789]
Coordinates of the circumscribed circle: U[9.65334648215; -8.45109696132]
Coordinates of the inscribed circle: I[13.39895840921; 1.78765519528]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.4° = 146°24' = 0.58664306287 rad
∠ B' = β' = 164.8° = 164°48' = 0.26552900463 rad
∠ C' = γ' = 48.8° = 48°48' = 2.29898719786 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     