3 24 26 triangle

Obtuse scalene triangle.

Sides: a = 3   b = 24   c = 26

Area: T = 27.99004928272
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 5.13105088746° = 5°7'50″ = 0.09895442722 rad
Angle ∠ B = β = 45.67657648661° = 45°40'33″ = 0.79771924853 rad
Angle ∠ C = γ = 129.1943726259° = 129°11'37″ = 2.25548558961 rad

Height: ha = 18.66003285515
Height: hb = 2.32550410689
Height: hc = 2.14661917559

Median: ma = 24.97549874875
Median: mb = 14.08990028036
Median: mc = 11.11330553854

Vertex coordinates: A[26; 0] B[0; 0] C[2.09661538462; 2.14661917559]
Centroid: CG[9.36553846154; 0.7155397252]
Coordinates of the circumscribed circle: U[13; -10.66001711809]
Coordinates of the inscribed circle: I[2.5; 1.05328487859]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 174.8699491125° = 174°52'10″ = 0.09895442722 rad
∠ B' = β' = 134.3244235134° = 134°19'27″ = 0.79771924853 rad
∠ C' = γ' = 50.80662737407° = 50°48'23″ = 2.25548558961 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    