# 5 24 26 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 24   c = 26

Area: T = 56.99550655759
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 10.52656968806° = 10°31'33″ = 0.18437080666 rad
Angle ∠ B = β = 61.26443462551° = 61°15'52″ = 1.06992645562 rad
Angle ∠ C = γ = 108.2109956864° = 108°12'36″ = 1.88986200307 rad

Height: ha = 22.79880262304
Height: hb = 4.7549588798
Height: hc = 4.38442358135

Median: ma = 24.8954778569
Median: mb = 14.37701078632
Median: mc = 11.46773449412

Inradius: r = 2.07325478391
Circumradius: R = 13.68553952552

Vertex coordinates: A[26; 0] B[0; 0] C[2.40438461538; 4.38442358135]
Centroid: CG[9.46879487179; 1.46114119378]
Coordinates of the circumscribed circle: U[13; -4.27766860172]
Coordinates of the inscribed circle: I[3.5; 2.07325478391]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.4744303119° = 169°28'27″ = 0.18437080666 rad
∠ B' = β' = 118.7365653745° = 118°44'8″ = 1.06992645562 rad
∠ C' = γ' = 71.79900431357° = 71°47'24″ = 1.88986200307 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    