# 24 26 30 triangle

### Acute scalene triangle.

Sides: a = 24   b = 26   c = 30

Area: T = 299.3332590942
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 50.132165845° = 50°7'54″ = 0.87549624994 rad
Angle ∠ B = β = 56.25110114041° = 56°15'4″ = 0.98217653566 rad
Angle ∠ C = γ = 73.61773301459° = 73°37'2″ = 1.28548647976 rad

Height: ha = 24.94443825785
Height: hb = 23.02655839186
Height: hc = 19.95655060628

Median: ma = 25.37771550809
Median: mb = 23.85437208838
Median: mc = 20.02549843945

Inradius: r = 7.48333147735
Circumradius: R = 15.63547826519

Vertex coordinates: A[30; 0] B[0; 0] C[13.33333333333; 19.95655060628]
Centroid: CG[14.44444444444; 6.65218353543]
Coordinates of the circumscribed circle: U[15; 4.41098104916]
Coordinates of the inscribed circle: I[14; 7.48333147735]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.868834155° = 129°52'6″ = 0.87549624994 rad
∠ B' = β' = 123.7498988596° = 123°44'56″ = 0.98217653566 rad
∠ C' = γ' = 106.3832669854° = 106°22'58″ = 1.28548647976 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.