# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 1.125   b = 0.89884649488   c = 0.6777041901

Area: T = 0.30441492085
Perimeter: p = 2.70105068498
Semiperimeter: s = 1.35502534249

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 53° = 0.92550245036 rad
Angle ∠ C = γ = 37° = 0.64657718232 rad

Height: ha = 0.5410709704
Height: hb = 0.6777041901
Height: hc = 0.89884649488

Median: ma = 0.56325
Median: mb = 0.81325241854
Median: mc = 0.96601227516

Vertex coordinates: A[0.6777041901; 0] B[0; 0] C[0.6777041901; 0.89884649488]
Centroid: CG[0.45113612674; 0.29994883163]
Coordinates of the circumscribed circle: U[0.33985209505; 0.44992324744]
Coordinates of the inscribed circle: I[0.45217884761; 0.22552534249]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 127° = 0.92550245036 rad
∠ C' = γ' = 143° = 0.64657718232 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    