Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 0.5   b = 1.18331007916   c = 1.07222534603

Area: T = 0.26880633651
Perimeter: p = 2.75553542518
Semiperimeter: s = 1.37876771259

Angle ∠ A = α = 25° = 0.4366332313 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 65° = 1.13444640138 rad

Height: ha = 1.07222534603
Height: hb = 0.45331538935
Height: hc = 0.5

Median: ma = 1.10110120267
Median: mb = 0.59215503958
Median: mc = 0.73330974497

Inradius: r = 0.19545763343
Circumradius: R = 0.59215503958

Vertex coordinates: A[1.07222534603; 0] B[0; 0] C[-0; 0.5]
Centroid: CG[0.35774178201; 0.16766666667]
Coordinates of the circumscribed circle: U[0.53661267301; 0.25]
Coordinates of the inscribed circle: I[0.19545763343; 0.19545763343]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155° = 0.4366332313 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 115° = 1.13444640138 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     