# 23 23 26 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 23   c = 26

Area: T = 246.6587657493
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 55.58326112896° = 55°34'57″ = 0.97700995739 rad
Angle ∠ B = β = 55.58326112896° = 55°34'57″ = 0.97700995739 rad
Angle ∠ C = γ = 68.83547774209° = 68°50'5″ = 1.20113935059 rad

Height: ha = 21.44884919559
Height: hb = 21.44884919559
Height: hc = 18.9743665961

Median: ma = 21.68552484422
Median: mb = 21.68552484422
Median: mc = 18.9743665961

Inradius: r = 6.8521601597
Circumradius: R = 13.94403740186

Vertex coordinates: A[26; 0] B[0; 0] C[13; 18.9743665961]
Centroid: CG[13; 6.32545553203]
Coordinates of the circumscribed circle: U[13; 5.03332919424]
Coordinates of the inscribed circle: I[13; 6.8521601597]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.417738871° = 124°25'3″ = 0.97700995739 rad
∠ B' = β' = 124.417738871° = 124°25'3″ = 0.97700995739 rad
∠ C' = γ' = 111.1655222579° = 111°9'55″ = 1.20113935059 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.