5 12 12 triangle

Acute isosceles triangle.

Sides: a = 5   b = 12   c = 12

Area: T = 29.34217364858
Perimeter: p = 29
Semiperimeter: s = 14.5

Angle ∠ A = α = 24.04993983611° = 24°2'58″ = 0.42197411845 rad
Angle ∠ B = β = 77.97553008194° = 77°58'31″ = 1.36109257345 rad
Angle ∠ C = γ = 77.97553008194° = 77°58'31″ = 1.36109257345 rad

Height: ha = 11.73766945943
Height: hb = 4.89902894143
Height: hc = 4.89902894143

Median: ma = 11.73766945943
Median: mb = 6.96441941386
Median: mc = 6.96441941386

Vertex coordinates: A[12; 0] B[0; 0] C[1.04216666667; 4.89902894143]
Centroid: CG[4.34772222222; 1.63300964714]
Coordinates of the circumscribed circle: U[6; 1.27880429685]
Coordinates of the inscribed circle: I[2.5; 2.02435680335]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9510601639° = 155°57'2″ = 0.42197411845 rad
∠ B' = β' = 102.0254699181° = 102°1'29″ = 1.36109257345 rad
∠ C' = γ' = 102.0254699181° = 102°1'29″ = 1.36109257345 rad

How did we calculate this triangle?

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. 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    