Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 70.71106781187   b = 50   c = 50

Area: T = 1250
Perimeter: p = 170.7110678119
Semiperimeter: s = 85.35553390593

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 35.35553390593
Height: hb = 50
Height: hc = 50

Median: ma = 35.35553390593
Median: mb = 55.90216994375
Median: mc = 55.90216994375

Inradius: r = 14.64546609407
Circumradius: R = 35.35553390593

Vertex coordinates: A[50; 0] B[0; 0] C[50; 50]
Centroid: CG[33.33333333333; 16.66766666667]
Coordinates of the circumscribed circle: U[25; 25]
Coordinates of the inscribed circle: I[35.35553390593; 14.64546609407]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 135° = 0.78553981634 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     