# 6 23 24 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 23   c = 24

Area: T = 68.94551774963
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 14.46657584676° = 14°27'57″ = 0.25224751141 rad
Angle ∠ B = β = 73.25501091195° = 73°15' = 1.27884555816 rad
Angle ∠ C = γ = 92.28441324129° = 92°17'3″ = 1.6110661958 rad

Height: ha = 22.98217258321
Height: hb = 5.99552328258
Height: hc = 5.7455431458

Median: ma = 23.31330864537
Median: mb = 13.18114263265
Median: mc = 11.76986022959

Inradius: r = 2.60217048112
Circumradius: R = 12.01095419298

Vertex coordinates: A[24; 0] B[0; 0] C[1.72991666667; 5.7455431458]
Centroid: CG[8.57663888889; 1.91551438193]
Coordinates of the circumscribed circle: U[12; -0.47986411639]
Coordinates of the inscribed circle: I[3.5; 2.60217048112]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.5344241532° = 165°32'3″ = 0.25224751141 rad
∠ B' = β' = 106.7549890881° = 106°45' = 1.27884555816 rad
∠ C' = γ' = 87.71658675871° = 87°42'57″ = 1.6110661958 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    