# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Obtuse scalene triangle.

Sides: a = 4.6   b = 1.49985263723   c = 4.29770876316

Area: T = 3.21876882464
Perimeter: p = 10.39656140038
Semiperimeter: s = 5.19878070019

Angle ∠ A = α = 92° = 1.60657029118 rad
Angle ∠ B = β = 19° = 0.33216125579 rad
Angle ∠ C = γ = 69° = 1.20442771839 rad

Height: ha = 1.39989948898
Height: hb = 4.29444699619
Height: hc = 1.49876135105

Median: ma = 2.25106158493
Median: mb = 4.38876059229
Median: mc = 2.66220574967

Vertex coordinates: A[4.29770876316; 0] B[0; 0] C[4.34993854478; 1.49876135105]
Centroid: CG[2.88221576931; 0.49992045035]
Coordinates of the circumscribed circle: U[2.14985438158; 0.82547486986]
Coordinates of the inscribed circle: I[3.69992806296; 0.61990472723]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 88° = 1.60657029118 rad
∠ B' = β' = 161° = 0.33216125579 rad
∠ C' = γ' = 111° = 1.20442771839 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    