# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 2.5   b = 3.73661913747   c = 2.77765312871

Area: T = 3.47106641088
Perimeter: p = 9.01327226617
Semiperimeter: s = 4.50663613309

Angle ∠ A = α = 42° = 0.73330382858 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 48° = 0.8387758041 rad

Height: ha = 2.77765312871
Height: hb = 1.85878620637
Height: hc = 2.5

Median: ma = 3.04549344801
Median: mb = 1.86880956873
Median: mc = 2.86595946386

Inradius: r = 0.77701699562
Circumradius: R = 1.86880956873

Vertex coordinates: A[2.77765312871; 0] B[0; 0] C[-0; 2.5]
Centroid: CG[0.9265510429; 0.83333333333]
Coordinates of the circumscribed circle: U[1.38882656435; 1.25]
Coordinates of the inscribed circle: I[0.77701699562; 0.77701699562]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138° = 0.73330382858 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 132° = 0.8387758041 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    