24.15 12.5 12.5 triangle

Obtuse isosceles triangle.

Sides: a = 24.15   b = 12.5   c = 12.5

Area: T = 39.02436931185
Perimeter: p = 49.15
Semiperimeter: s = 24.575

Angle ∠ A = α = 150.0332857828° = 150°1'58″ = 2.61985673553 rad
Angle ∠ B = β = 14.98435710862° = 14°59'1″ = 0.26215126492 rad
Angle ∠ C = γ = 14.98435710862° = 14°59'1″ = 0.26215126492 rad

Height: ha = 3.23217758276
Height: hb = 6.2443790899
Height: hc = 6.2443790899

Median: ma = 3.23217758276
Median: mb = 18.18444370273
Median: mc = 18.18444370273

Inradius: r = 1.58879427515
Circumradius: R = 24.17440158251

Vertex coordinates: A[12.5; 0] B[0; 0] C[23.32989; 6.2443790899]
Centroid: CG[11.94329666667; 2.0811263633]
Coordinates of the circumscribed circle: U[6.25; 23.3522099287]
Coordinates of the inscribed circle: I[12.075; 1.58879427515]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 29.96771421723° = 29°58'2″ = 2.61985673553 rad
∠ B' = β' = 165.0166428914° = 165°59″ = 0.26215126492 rad
∠ C' = γ' = 165.0166428914° = 165°59″ = 0.26215126492 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     