Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 69.06329490347   b = 84.10552372292   c = 48

Area: T = 1657.511077683
Perimeter: p = 201.1688186264
Semiperimeter: s = 100.5844093132

Angle ∠ A = α = 55.2° = 55°12' = 0.96334217471 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 34.8° = 34°48' = 0.60773745797 rad

Height: ha = 48
Height: hb = 39.41551620384
Height: hc = 69.06329490347

Median: ma = 59.1310556672
Median: mb = 42.05326186146
Median: mc = 73.11442320576

Inradius: r = 16.47988559028
Circumradius: R = 42.05326186146

Vertex coordinates: A[48; 0] B[0; 0] C[-0; 69.06329490347]
Centroid: CG[16; 23.02109830116]
Coordinates of the circumscribed circle: U[24; 34.53114745174]
Coordinates of the inscribed circle: I[16.47988559028; 16.47988559028]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.8° = 124°48' = 0.96334217471 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 145.2° = 145°12' = 0.60773745797 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     