# 10 11 11 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 11   c = 11

Area: T = 48.99897948557
Perimeter: p = 32
Semiperimeter: s = 16

Angle ∠ A = α = 54.07113835788° = 54°4'17″ = 0.94437236746 rad
Angle ∠ B = β = 62.96443082106° = 62°57'52″ = 1.09989344895 rad
Angle ∠ C = γ = 62.96443082106° = 62°57'52″ = 1.09989344895 rad

Height: ha = 9.79879589711
Height: hb = 8.90772354283
Height: hc = 8.90772354283

Median: ma = 9.79879589711
Median: mb = 8.95882364336
Median: mc = 8.95882364336

Inradius: r = 3.06218621785
Circumradius: R = 6.17547553933

Vertex coordinates: A[11; 0] B[0; 0] C[4.54554545455; 8.90772354283]
Centroid: CG[5.18218181818; 2.96990784761]
Coordinates of the circumscribed circle: U[5.5; 2.80767069969]
Coordinates of the inscribed circle: I[5; 3.06218621785]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.9298616421° = 125°55'43″ = 0.94437236746 rad
∠ B' = β' = 117.0365691789° = 117°2'8″ = 1.09989344895 rad
∠ C' = γ' = 117.0365691789° = 117°2'8″ = 1.09989344895 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.