Triangle calculator SSS - result

Please enter the triangle sides:

Acute isosceles triangle.

Sides: a = 10.82   b = 10.82   c = 15.3

Area: T = 58.53661983968
Perimeter: p = 36.94
Semiperimeter: s = 18.47

Angle ∠ A = α = 45.00767048441° = 45°24″ = 0.7865515185 rad
Angle ∠ B = β = 45.00767048441° = 45°24″ = 0.7865515185 rad
Angle ∠ C = γ = 89.98765903119° = 89°59'12″ = 1.57105622836 rad

Height: ha = 10.82199997037
Height: hb = 10.82199997037
Height: hc = 7.65217906401

Median: ma = 12.0965995205
Median: mb = 12.0965995205
Median: mc = 7.65217906401

Inradius: r = 3.16992581698
Circumradius: R = 7.65500002095

Vertex coordinates: A[15.3; 0] B[0; 0] C[7.65; 7.65217906401]
Centroid: CG[7.65; 2.551059688]
Coordinates of the circumscribed circle: U[7.65; 0.00217904306]
Coordinates of the inscribed circle: I[7.65; 3.16992581698]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.9933295156° = 134°59'36″ = 0.7865515185 rad
∠ B' = β' = 134.9933295156° = 134°59'36″ = 0.7865515185 rad
∠ C' = γ' = 90.01334096881° = 90°48″ = 1.57105622836 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     