Triangle calculator SAS

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

Obtuse isosceles triangle.

Sides: a = 8.35   b = 8.35   c = 12.79329422001

Area: T = 34.33216292797
Perimeter: p = 29.49329422001
Semiperimeter: s = 14.74664711

Angle ∠ A = α = 40° = 0.69881317008 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 100° = 1.7455329252 rad

Height: ha = 8.22331447377
Height: hb = 8.22331447377
Height: hc = 5.36772765409

Median: ma = 9.96329468566
Median: mb = 9.96329468566
Median: mc = 5.36772765409

Inradius: r = 2.32881250848
Circumradius: R = 6.49551469771

Vertex coordinates: A[12.79329422001; 0] B[0; 0] C[6.39664711; 5.36772765409]
Centroid: CG[6.39664711; 1.78990921803]
Coordinates of the circumscribed circle: U[6.39664711; -1.12878704363]
Coordinates of the inscribed circle: I[6.39664711; 2.32881250848]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140° = 0.69881317008 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 80° = 1.7455329252 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     