# 10 10 11 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 10   c = 11

Area: T = 45.93440559933
Perimeter: p = 31
Semiperimeter: s = 15.5

Angle ∠ A = α = 56.63329870308° = 56°37'59″ = 0.98884320889 rad
Angle ∠ B = β = 56.63329870308° = 56°37'59″ = 0.98884320889 rad
Angle ∠ C = γ = 66.73440259385° = 66°44'3″ = 1.16547284757 rad

Height: ha = 9.18768111987
Height: hb = 9.18768111987
Height: hc = 8.35216465442

Median: ma = 9.24766210045
Median: mb = 9.24766210045
Median: mc = 8.35216465442

Inradius: r = 2.96334874834
Circumradius: R = 5.98768434009

Vertex coordinates: A[11; 0] B[0; 0] C[5.5; 8.35216465442]
Centroid: CG[5.5; 2.78438821814]
Coordinates of the circumscribed circle: U[5.5; 2.36548031434]
Coordinates of the inscribed circle: I[5.5; 2.96334874834]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.3677012969° = 123°22'1″ = 0.98884320889 rad
∠ B' = β' = 123.3677012969° = 123°22'1″ = 0.98884320889 rad
∠ C' = γ' = 113.2665974062° = 113°15'57″ = 1.16547284757 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.