Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 50   b = 60   c = 88.96883866258

Area: T = 1429.694441442
Perimeter: p = 198.9688386626
Semiperimeter: s = 99.48441933129

Angle ∠ A = α = 32.38884338246° = 32°23'18″ = 0.56552848098 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 107.6121566175° = 107°36'42″ = 1.8788176143 rad

Height: ha = 57.18877765769
Height: hb = 47.65664804807
Height: hc = 32.13993804843

Median: ma = 71.64327729042
Median: mb = 65.63329712065
Median: mc = 32.72985280039

Inradius: r = 14.37110710899
Circumradius: R = 46.67217148058

Vertex coordinates: A[88.96883866258; 0] B[0; 0] C[38.30222221559; 32.13993804843]
Centroid: CG[42.42435362606; 10.71331268281]
Coordinates of the circumscribed circle: U[44.48441933129; -14.12111015228]
Coordinates of the inscribed circle: I[39.48441933129; 14.37110710899]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.6121566175° = 147°36'42″ = 0.56552848098 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 72.38884338246° = 72°23'18″ = 1.8788176143 rad

How did we calculate this triangle?

1. Use 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     