13 13 21 triangle

Obtuse isosceles triangle.

Sides: a = 13   b = 13   c = 21

Area: T = 80.4810976013
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 36.12989274719° = 36°7'44″ = 0.63105687396 rad
Angle ∠ B = β = 36.12989274719° = 36°7'44″ = 0.63105687396 rad
Angle ∠ C = γ = 107.7422145056° = 107°44'32″ = 1.88804551744 rad

Height: ha = 12.38216886174
Height: hb = 12.38216886174
Height: hc = 7.66548548584

Median: ma = 16.21095650774
Median: mb = 16.21095650774
Median: mc = 7.66548548584

Inradius: r = 3.42547223835
Circumradius: R = 11.02443444346

Vertex coordinates: A[21; 0] B[0; 0] C[10.5; 7.66548548584]
Centroid: CG[10.5; 2.55549516195]
Coordinates of the circumscribed circle: U[10.5; -3.35994895762]
Coordinates of the inscribed circle: I[10.5; 3.42547223835]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.8711072528° = 143°52'16″ = 0.63105687396 rad
∠ B' = β' = 143.8711072528° = 143°52'16″ = 0.63105687396 rad
∠ C' = γ' = 72.25878549439° = 72°15'28″ = 1.88804551744 rad

Calculate another triangle




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.


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