Triangle calculator SSA

Please enter two sides and a non-included angle
°

Right scalene triangle.

Sides: a = 68.685   b = 90.08444   c = 58.28986772741

Area: T = 2001.779889928
Perimeter: p = 217.0588077274
Semiperimeter: s = 108.5299038637

Angle ∠ A = α = 49.68108098205° = 49°40'51″ = 0.86770937064 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 40.31991901795° = 40°19'9″ = 0.70437026204 rad

Height: ha = 58.28986772741
Height: hb = 44.44222985397
Height: hc = 68.685

Median: ma = 67.65333606306
Median: mb = 45.04222
Median: mc = 74.61224768359

Inradius: r = 18.4454638637
Circumradius: R = 45.04222

Vertex coordinates: A[58.28986772741; 0] B[0; 0] C[-0; 68.685]
Centroid: CG[19.43295590914; 22.895]
Coordinates of the circumscribed circle: U[29.1444338637; 34.34325]
Coordinates of the inscribed circle: I[18.4454638637; 18.4454638637]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.3199190179° = 130°19'9″ = 0.86770937064 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 139.6810809821° = 139°40'51″ = 0.70437026204 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     