Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 2.1   b = 1.26438115486   c = 1.67771345711

Area: T = 1.06597910198
Perimeter: p = 5.04109461197
Semiperimeter: s = 2.52204730599

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

Height: ha = 1.00993247807
Height: hb = 1.67771345711
Height: hc = 1.26438115486

Median: ma = 1.05
Median: mb = 1.79222291364
Median: mc = 1.51767118127

Inradius: r = 0.42204730599
Circumradius: R = 1.05

Vertex coordinates: A[1.67771345711; 0] B[0; 0] C[1.67771345711; 1.26438115486]
Centroid: CG[1.11880897141; 0.42112705162]
Coordinates of the circumscribed circle: U[0.83985672855; 0.63219057743]
Coordinates of the inscribed circle: I[1.25766615112; 0.42204730599]

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