Triangle calculator ASA

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

Obtuse isosceles triangle.

Sides: a = 3.77004900064   b = 3.77004900064   c = 5.5

Area: T = 6.8099305585
Perimeter: p = 12.90109800128
Semiperimeter: s = 6.45504900064

Angle ∠ A = α = 42° = 0.73330382858 rad
Angle ∠ B = β = 42° = 0.73330382858 rad
Angle ∠ C = γ = 96° = 1.67655160819 rad

Height: ha = 3.6880218335
Height: hb = 3.6880218335
Height: hc = 2.47661111218

Median: ma = 4.30767861071
Median: mb = 4.30767861071
Median: mc = 2.47661111218

Inradius: r = 1.05656260963
Circumradius: R = 2.76551477688

Vertex coordinates: A[5.5; 0] B[0; 0] C[2.75; 2.47661111218]
Centroid: CG[2.75; 0.82553703739]
Coordinates of the circumscribed circle: U[2.75; -0.2899036647]
Coordinates of the inscribed circle: I[2.75; 1.05656260963]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138° = 0.73330382858 rad
∠ B' = β' = 138° = 0.73330382858 rad
∠ C' = γ' = 84° = 1.67655160819 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     