Triangle calculator SSA

Please enter two sides and a non-included angle
°

Right scalene triangle.

Sides: a = 3.5   b = 4.2   c = 2.32216373532

Area: T = 4.06328653682
Perimeter: p = 10.02216373532
Semiperimeter: s = 5.01108186766

Angle ∠ A = α = 56.44326902381° = 56°26'34″ = 0.98551107833 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 33.55773097619° = 33°33'26″ = 0.58656855435 rad

Height: ha = 2.32216373532
Height: hb = 1.93546977944
Height: hc = 3.5

Median: ma = 2.9077318352
Median: mb = 2.1
Median: mc = 3.68774788135

Inradius: r = 0.81108186766
Circumradius: R = 2.1

Vertex coordinates: A[2.32216373532; 0] B[0; 0] C[-0; 3.5]
Centroid: CG[0.77438791177; 1.16766666667]
Coordinates of the circumscribed circle: U[1.16108186766; 1.75]
Coordinates of the inscribed circle: I[0.81108186766; 0.81108186766]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.5577309762° = 123°33'26″ = 0.98551107833 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 146.4432690238° = 146°26'34″ = 0.58656855435 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     