14 23 23 triangle

Acute isosceles triangle.

Sides: a = 14   b = 23   c = 23

Area: T = 153.3622316101
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 35.43878637468° = 35°26'16″ = 0.61985074023 rad
Angle ∠ B = β = 72.28110681266° = 72°16'52″ = 1.26215426257 rad
Angle ∠ C = γ = 72.28110681266° = 72°16'52″ = 1.26215426257 rad

Height: ha = 21.90989023002
Height: hb = 13.3365853574
Height: hc = 13.3365853574

Median: ma = 21.90989023002
Median: mb = 15.17439909055
Median: mc = 15.17439909055

Vertex coordinates: A[23; 0] B[0; 0] C[4.26108695652; 13.3365853574]
Centroid: CG[9.08769565217; 4.44552845247]
Coordinates of the circumscribed circle: U[11.5; 3.67443054899]
Coordinates of the inscribed circle: I[7; 5.11220772034]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.5622136253° = 144°33'44″ = 0.61985074023 rad
∠ B' = β' = 107.7198931873° = 107°43'8″ = 1.26215426257 rad
∠ C' = γ' = 107.7198931873° = 107°43'8″ = 1.26215426257 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    