13 24 26 triangle

Acute scalene triangle.

Sides: a = 13   b = 24   c = 26

Area: T = 155.0433340715
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 29.7977347297° = 29°47'50″ = 0.52200618187 rad
Angle ∠ B = β = 66.55112264175° = 66°33'4″ = 1.16215380222 rad
Angle ∠ C = γ = 83.65114262854° = 83°39'5″ = 1.46599928127 rad

Height: ha = 23.85328216484
Height: hb = 12.92202783929
Height: hc = 11.92664108242

Median: ma = 24.16109188567
Median: mb = 16.68883192683
Median: mc = 14.26553426177

Vertex coordinates: A[26; 0] B[0; 0] C[5.17330769231; 11.92664108242]
Centroid: CG[10.3911025641; 3.97554702747]
Coordinates of the circumscribed circle: U[13; 1.44663697632]
Coordinates of the inscribed circle: I[7.5; 4.92220108163]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.2032652703° = 150°12'10″ = 0.52200618187 rad
∠ B' = β' = 113.4498773582° = 113°26'56″ = 1.16215380222 rad
∠ C' = γ' = 96.34985737146° = 96°20'55″ = 1.46599928127 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    