Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 6.69989885908   b = 1.62106320185   c = 6.5

Area: T = 5.26770540601
Perimeter: p = 14.82196206093
Semiperimeter: s = 7.41098103046

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 14° = 0.24443460953 rad
Angle ∠ C = γ = 76° = 1.32664502315 rad

Height: ha = 1.57224923214
Height: hb = 6.5
Height: hc = 1.62106320185

Median: ma = 3.34994942954
Median: mb = 6.55503138883
Median: mc = 3.63216591442

Inradius: r = 0.71108217139
Circumradius: R = 3.34994942954

Vertex coordinates: A[6.5; 0] B[0; 0] C[6.5; 1.62106320185]
Centroid: CG[4.33333333333; 0.54402106728]
Coordinates of the circumscribed circle: U[3.25; 0.81103160092]
Coordinates of the inscribed circle: I[5.78991782861; 0.71108217139]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 166° = 0.24443460953 rad
∠ C' = γ' = 104° = 1.32664502315 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     