23 23 24 triangle

Acute isosceles triangle.

Sides: a = 23   b = 23   c = 24

Area: T = 235.4577002444
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 58.55110186106° = 58°33'4″ = 1.02219080552 rad
Angle ∠ B = β = 58.55110186106° = 58°33'4″ = 1.02219080552 rad
Angle ∠ C = γ = 62.89879627788° = 62°53'53″ = 1.09877765433 rad

Height: ha = 20.47545219517
Height: hb = 20.47545219517
Height: hc = 19.62114168703

Median: ma = 20.5
Median: mb = 20.5
Median: mc = 19.62114168703

Vertex coordinates: A[24; 0] B[0; 0] C[12; 19.62114168703]
Centroid: CG[12; 6.54404722901]
Coordinates of the circumscribed circle: U[12; 6.14112486568]
Coordinates of the inscribed circle: I[12; 6.7277342927]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.4498981389° = 121°26'56″ = 1.02219080552 rad
∠ B' = β' = 121.4498981389° = 121°26'56″ = 1.02219080552 rad
∠ C' = γ' = 117.1022037221° = 117°6'7″ = 1.09877765433 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    