Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Right scalene triangle.

Sides: a = 76   b = 157   c = 174.4287635425

Area: T = 5966
Perimeter: p = 407.4287635425
Semiperimeter: s = 203.7143817713

Angle ∠ A = α = 25.83105301428° = 25°49'50″ = 0.45108277985 rad
Angle ∠ B = β = 64.16994698572° = 64°10'10″ = 1.12199685283 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 157
Height: hb = 76
Height: hc = 68.40765914837

Median: ma = 161.5333278305
Median: mb = 109.2622299079
Median: mc = 87.21438177126

Inradius: r = 29.28661822874
Circumradius: R = 87.21438177126

Vertex coordinates: A[174.4287635425; 0] B[0; 0] C[33.11440188074; 68.40765914837]
Centroid: CG[69.18105514108; 22.80221971612]
Coordinates of the circumscribed circle: U[87.21438177126; 0]
Coordinates of the inscribed circle: I[46.71438177126; 29.28661822874]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.1699469857° = 154°10'10″ = 0.45108277985 rad
∠ B' = β' = 115.8310530143° = 115°49'50″ = 1.12199685283 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a Law of Cosines 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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     