Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 66.75661164285   b = 29.2643955314   c = 60

Area: T = 877.9198659419
Perimeter: p = 156.0220071742
Semiperimeter: s = 78.01100358712

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 26° = 0.45437856055 rad
Angle ∠ C = γ = 64° = 1.11770107213 rad

Height: ha = 26.30222688073
Height: hb = 60
Height: hc = 29.2643955314

Median: ma = 33.37880582143
Median: mb = 61.75883578972
Median: mc = 41.90991765681

Inradius: r = 11.25439194427
Circumradius: R = 33.37880582143

Vertex coordinates: A[60; 0] B[0; 0] C[60; 29.2643955314]
Centroid: CG[40; 9.75546517713]
Coordinates of the circumscribed circle: U[30; 14.6321977657]
Coordinates of the inscribed circle: I[48.74660805573; 11.25439194427]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 154° = 0.45437856055 rad
∠ C' = γ' = 116° = 1.11770107213 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     