Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 46.27880478137   b = 19.43334173385   c = 42

Area: T = 408.1021764108
Perimeter: p = 107.7111465152
Semiperimeter: s = 53.85657325761

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 24.83° = 24°49'48″ = 0.43333652533 rad
Angle ∠ C = γ = 65.17° = 65°10'12″ = 1.13774310735 rad

Height: ha = 17.63769481163
Height: hb = 42
Height: hc = 19.43334173385

Median: ma = 23.13990239069
Median: mb = 43.10993310939
Median: mc = 28.61221951177

Inradius: r = 7.57876847624
Circumradius: R = 23.13990239069

Vertex coordinates: A[42; 0] B[0; 0] C[42; 19.43334173385]
Centroid: CG[28; 6.47878057795]
Coordinates of the circumscribed circle: U[21; 9.71767086692]
Coordinates of the inscribed circle: I[34.42223152376; 7.57876847624]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 155.17° = 155°10'12″ = 0.43333652533 rad
∠ C' = γ' = 114.83° = 114°49'48″ = 1.13774310735 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     