Triangle calculator SSA

Please enter two sides and a non-included angle
°

Right scalene triangle.

Sides: a = 49   b = 52   c = 17.40768951855

Area: T = 426.4698932046
Perimeter: p = 118.4076895186
Semiperimeter: s = 59.20334475928

Angle ∠ A = α = 70.44327862646° = 70°26'34″ = 1.22994585546 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 19.55772137354° = 19°33'26″ = 0.34113377722 rad

Height: ha = 17.40768951855
Height: hb = 16.40326512325
Height: hc = 49

Median: ma = 30.05441178543
Median: mb = 26
Median: mc = 49.76769569092

Inradius: r = 7.20334475928
Circumradius: R = 26

Vertex coordinates: A[17.40768951855; 0] B[0; 0] C[-0; 49]
Centroid: CG[5.80222983952; 16.33333333333]
Coordinates of the circumscribed circle: U[8.70334475928; 24.5]
Coordinates of the inscribed circle: I[7.20334475928; 7.20334475928]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 109.5577213735° = 109°33'26″ = 1.22994585546 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 160.4432786265° = 160°26'34″ = 0.34113377722 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     