Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 105.7098868259   b = 99.42988579437   c = 50

Area: T = 2467.193325785
Perimeter: p = 255.1387726203
Semiperimeter: s = 127.5698863102

Angle ∠ A = α = 83° = 1.44986232792 rad
Angle ∠ B = β = 69° = 1.20442771839 rad
Angle ∠ C = γ = 28° = 0.48986921906 rad

Height: ha = 46.67990213249
Height: hb = 49.62773075821
Height: hc = 98.68877303141

Median: ma = 58.30548684831
Median: mb = 66.07331259011
Median: mc = 99.52550285624

Inradius: r = 19.34400897199
Circumradius: R = 53.25113617047

Vertex coordinates: A[50; 0] B[0; 0] C[37.88326703669; 98.68877303141]
Centroid: CG[29.29442234556; 32.89659101047]
Coordinates of the circumscribed circle: U[25; 47.01881616337]
Coordinates of the inscribed circle: I[28.14400051578; 19.34400897199]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 97° = 1.44986232792 rad
∠ B' = β' = 111° = 1.20442771839 rad
∠ C' = γ' = 152° = 0.48986921906 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     