Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute isosceles triangle.

Sides: a = 1.3   b = 1.4543901549   c = 1.3

Area: T = 0.78334703571
Perimeter: p = 4.0543901549
Semiperimeter: s = 2.02769507745

Angle ∠ A = α = 56° = 0.97773843811 rad
Angle ∠ B = β = 68° = 1.18768238914 rad
Angle ∠ C = γ = 56° = 0.97773843811 rad

Height: ha = 1.20553390109
Height: hb = 1.07877488443
Height: hc = 1.20553390109

Median: ma = 1.216631199
Median: mb = 1.07877488443
Median: mc = 1.216631199

Inradius: r = 0.38765265832
Circumradius: R = 0.78440416665

Vertex coordinates: A[1.3; 0] B[0; 0] C[0.48769885714; 1.20553390109]
Centroid: CG[0.59656628571; 0.40217796703]
Coordinates of the circumscribed circle: U[0.65; 0.43884305359]
Coordinates of the inscribed circle: I[0.57330492255; 0.38765265832]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124° = 0.97773843811 rad
∠ B' = β' = 112° = 1.18768238914 rad
∠ C' = γ' = 124° = 0.97773843811 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     