# 6 26 26 triangle

### Acute isosceles triangle.

Sides: a = 6   b = 26   c = 26

Area: T = 77.47990294209
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 13.25216191296° = 13°15'6″ = 0.2311284385 rad
Angle ∠ B = β = 83.37441904352° = 83°22'27″ = 1.45551541343 rad
Angle ∠ C = γ = 83.37441904352° = 83°22'27″ = 1.45551541343 rad

Height: ha = 25.82663431403
Height: hb = 5.96599253401
Height: hc = 5.96599253401

Median: ma = 25.82663431403
Median: mb = 13.67547943312
Median: mc = 13.67547943312

Inradius: r = 2.67216906697
Circumradius: R = 13.0877412266

Vertex coordinates: A[26; 0] B[0; 0] C[0.69223076923; 5.96599253401]
Centroid: CG[8.89774358974; 1.987664178]
Coordinates of the circumscribed circle: U[13; 1.51100860307]
Coordinates of the inscribed circle: I[3; 2.67216906697]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.748838087° = 166°44'54″ = 0.2311284385 rad
∠ B' = β' = 96.62658095648° = 96°37'33″ = 1.45551541343 rad
∠ C' = γ' = 96.62658095648° = 96°37'33″ = 1.45551541343 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.