# 23 26 26 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 26   c = 26

Area: T = 268.1622147776
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 52.50224278699° = 52°30'9″ = 0.91663402316 rad
Angle ∠ B = β = 63.7498786065° = 63°44'56″ = 1.1132626211 rad
Angle ∠ C = γ = 63.7498786065° = 63°44'56″ = 1.1132626211 rad

Height: ha = 23.31884476327
Height: hb = 20.62878575213
Height: hc = 20.62878575213

Median: ma = 23.31884476327
Median: mb = 20.82106628137
Median: mc = 20.82106628137

Inradius: r = 7.15109906074
Circumradius: R = 14.4954961471

Vertex coordinates: A[26; 0] B[0; 0] C[10.17330769231; 20.62878575213]
Centroid: CG[12.05876923077; 6.87659525071]
Coordinates of the circumscribed circle: U[13; 6.41112329583]
Coordinates of the inscribed circle: I[11.5; 7.15109906074]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.498757213° = 127°29'51″ = 0.91663402316 rad
∠ B' = β' = 116.2511213935° = 116°15'4″ = 1.1132626211 rad
∠ C' = γ' = 116.2511213935° = 116°15'4″ = 1.1132626211 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.