Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

Obtuse isosceles triangle.

Sides: a = 1.75658933246   b = 1.75658933246   c = 3.3

Area: T = 0.99109089628
Perimeter: p = 6.81217866492
Semiperimeter: s = 3.40658933246

Angle ∠ A = α = 20° = 0.34990658504 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 140° = 2.44334609528 rad

Height: ha = 1.1298666473
Height: hb = 1.1298666473
Height: hc = 0.60105508865

Median: ma = 2.49331486802
Median: mb = 2.49331486802
Median: mc = 0.60105508865

Inradius: r = 0.29109395182
Circumradius: R = 2.56769443143

Vertex coordinates: A[3.3; 0] B[0; 0] C[1.65; 0.60105508865]
Centroid: CG[1.65; 0.22001836288]
Coordinates of the circumscribed circle: U[1.65; -1.96663934278]
Coordinates of the inscribed circle: I[1.65; 0.29109395182]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160° = 0.34990658504 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 40° = 2.44334609528 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 a 3. By using the law of sines, we calculate last unknown side b 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     