# 7 26 26 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 26   c = 26

Area: T = 90.17217111959
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 15.47327600799° = 15°28'22″ = 0.27700506078 rad
Angle ∠ B = β = 82.264361996° = 82°15'49″ = 1.43657710229 rad
Angle ∠ C = γ = 82.264361996° = 82°15'49″ = 1.43657710229 rad

Height: ha = 25.7633346056
Height: hb = 6.93662854766
Height: hc = 6.93662854766

Median: ma = 25.7633346056
Median: mb = 13.91104277432
Median: mc = 13.91104277432

Inradius: r = 3.05766681761
Circumradius: R = 13.11994138861

Vertex coordinates: A[26; 0] B[0; 0] C[0.94223076923; 6.93662854766]
Centroid: CG[8.98107692308; 2.31220951589]
Coordinates of the circumscribed circle: U[13; 1.76660749462]
Coordinates of the inscribed circle: I[3.5; 3.05766681761]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.527723992° = 164°31'38″ = 0.27700506078 rad
∠ B' = β' = 97.736638004° = 97°44'11″ = 1.43657710229 rad
∠ C' = γ' = 97.736638004° = 97°44'11″ = 1.43657710229 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.