Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Right scalene triangle.

Sides: a = 8.124404   b = 4.699042   c = 9.38108350214

Area: T = 19.05325798484
Perimeter: p = 22.19552950214
Semiperimeter: s = 11.09876475107

Angle ∠ A = α = 609.9999824438° = 60° = 1.04771972448 rad
Angle ∠ B = β = 300.0000175562° = 30° = 0.5243599082 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 4.699042
Height: hb = 8.124404
Height: hc = 4.06220221558

Median: ma = 6.20548405505
Median: mb = 8.45657693834
Median: mc = 4.69904175107

Inradius: r = 1.71768124893
Circumradius: R = 4.69904175107

Vertex coordinates: A[9.38108350214; 0] B[0; 0] C[7.03656237767; 4.06220221558]
Centroid: CG[5.47221529327; 1.35440073853]
Coordinates of the circumscribed circle: U[4.69904175107; 0]
Coordinates of the inscribed circle: I[6.40772275107; 1.71768124893]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 1200.000017556° = 120° = 1.04771972448 rad
∠ B' = β' = 1509.999982444° = 150° = 0.5243599082 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a 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     