Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 24.37333577895   b = 88.42554520482   c = 85

Area: T = 1035.868770605
Perimeter: p = 197.7998809838
Semiperimeter: s = 98.89994049189

Angle ∠ A = α = 16° = 0.27992526803 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 74° = 1.29215436465 rad

Height: ha = 85
Height: hb = 23.42991752444
Height: hc = 24.37333577895

Median: ma = 85.86991745767
Median: mb = 44.21327260241
Median: mc = 48.99329644943

Inradius: r = 10.47439528706
Circumradius: R = 44.21327260241

Vertex coordinates: A[85; 0] B[0; 0] C[-0; 24.37333577895]
Centroid: CG[28.33333333333; 8.12444525965]
Coordinates of the circumscribed circle: U[42.5; 12.18766788947]
Coordinates of the inscribed circle: I[10.47439528706; 10.47439528706]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164° = 0.27992526803 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 106° = 1.29215436465 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     