50 50 80 triangle

Obtuse isosceles triangle.

Sides: a = 50   b = 50   c = 80

Area: T = 1200
Perimeter: p = 180
Semiperimeter: s = 90

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ C = γ = 106.2660204708° = 106°15'37″ = 1.8554590436 rad

Height: ha = 48
Height: hb = 48
Height: hc = 30

Median: ma = 61.84765843843
Median: mb = 61.84765843843
Median: mc = 30

Inradius: r = 13.33333333333
Circumradius: R = 41.66766666667

Vertex coordinates: A[80; 0] B[0; 0] C[40; 30]
Centroid: CG[40; 10]
Coordinates of the circumscribed circle: U[40; -11.66766666667]
Coordinates of the inscribed circle: I[40; 13.33333333333]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ C' = γ' = 73.74397952917° = 73°44'23″ = 1.8554590436 rad

How did we calculate this triangle?

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     