# 12 24 26 triangle

### Acute scalene triangle.

Sides: a = 12   b = 24   c = 26

Area: T = 143.5799246411
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 27.39993615864° = 27°23'58″ = 0.47882090726 rad
Angle ∠ B = β = 66.98216671563° = 66°58'54″ = 1.16990506304 rad
Angle ∠ C = γ = 85.61989712574° = 85°37'8″ = 1.49443329506 rad

Height: ha = 23.93298744019
Height: hb = 11.96549372009
Height: hc = 11.04545574162

Median: ma = 24.2989915603
Median: mb = 16.31095064303
Median: mc = 13.82202749611

Inradius: r = 4.63215885939
Circumradius: R = 13.03880960117

Vertex coordinates: A[26; 0] B[0; 0] C[4.69223076923; 11.04545574162]
Centroid: CG[10.23107692308; 3.68215191387]
Coordinates of the circumscribed circle: U[13; 0.99659656676]
Coordinates of the inscribed circle: I[7; 4.63215885939]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.6010638414° = 152°36'2″ = 0.47882090726 rad
∠ B' = β' = 113.0188332844° = 113°1'6″ = 1.16990506304 rad
∠ C' = γ' = 94.38110287426° = 94°22'52″ = 1.49443329506 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.