Triangle calculator SSA

Please enter two sides and a non-included angle
°

Right scalene triangle.

Sides: a = 78   b = 81.6   c = 23.97699812265

Area: T = 934.8299267835
Perimeter: p = 183.5769981227
Semiperimeter: s = 91.78549906133

Angle ∠ A = α = 72.91774167566° = 72°55'3″ = 1.27326490045 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 17.08325832434° = 17°4'57″ = 0.29881473223 rad

Height: ha = 23.97699812265
Height: hb = 22.91224820548
Height: hc = 78

Median: ma = 45.77772869445
Median: mb = 40.8
Median: mc = 78.91553977371

Inradius: r = 10.18549906133
Circumradius: R = 40.8

Vertex coordinates: A[23.97699812265; 0] B[0; 0] C[-0; 78]
Centroid: CG[7.99899937422; 26]
Coordinates of the circumscribed circle: U[11.98549906133; 39]
Coordinates of the inscribed circle: I[10.18549906133; 10.18549906133]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107.0832583243° = 107°4'57″ = 1.27326490045 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 162.9177416757° = 162°55'3″ = 0.29881473223 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     