# 23 24 26 triangle

### Acute scalene triangle.

Sides: a = 23   b = 24   c = 26

Area: T = 254.3109727498
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 54.59767840917° = 54°35'48″ = 0.95328936434 rad
Angle ∠ B = β = 58.27698201529° = 58°16'11″ = 1.01770002162 rad
Angle ∠ C = γ = 67.13333957554° = 67°8' = 1.1721698794 rad

Height: ha = 22.11438893476
Height: hb = 21.19224772915
Height: hc = 19.56222867306

Median: ma = 22.22204860433
Median: mb = 21.41326131054
Median: mc = 19.58331560276

Inradius: r = 6.96773897945
Circumradius: R = 14.10987800113

Vertex coordinates: A[26; 0] B[0; 0] C[12.09661538462; 19.56222867306]
Centroid: CG[12.69987179487; 6.52107622435]
Coordinates of the circumscribed circle: U[13; 5.48224878848]
Coordinates of the inscribed circle: I[12.5; 6.96773897945]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.4033215908° = 125°24'12″ = 0.95328936434 rad
∠ B' = β' = 121.7330179847° = 121°43'49″ = 1.01770002162 rad
∠ C' = γ' = 112.8676604245° = 112°52' = 1.1721698794 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.