# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 365   b = 142.6176861899   c = 335.984427151

Area: T = 23958.5111225
Perimeter: p = 843.6011133409
Semiperimeter: s = 421.8010566704

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 23° = 0.4011425728 rad
Angle ∠ C = γ = 67° = 1.16993705988 rad

Height: ha = 131.2879513562
Height: hb = 335.984427151
Height: hc = 142.6176861899

Median: ma = 182.5
Median: mb = 343.4688081525
Median: mc = 220.3655439607

Inradius: r = 56.80105667044
Circumradius: R = 182.5

Vertex coordinates: A[335.984427151; 0] B[0; 0] C[335.984427151; 142.6176861899]
Centroid: CG[223.998951434; 47.53989539662]
Coordinates of the circumscribed circle: U[167.9922135755; 71.30884309493]
Coordinates of the inscribed circle: I[279.1843704806; 56.80105667044]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 157° = 0.4011425728 rad
∠ C' = γ' = 113° = 1.16993705988 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   