# 8 11 11 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 11   c = 11

Area: T = 40.98878030638
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 42.6477372527° = 42°38'51″ = 0.74443370679 rad
Angle ∠ B = β = 68.67663137365° = 68°40'35″ = 1.19986277928 rad
Angle ∠ C = γ = 68.67663137365° = 68°40'35″ = 1.19986277928 rad

Height: ha = 10.2476950766
Height: hb = 7.45223278298
Height: hc = 7.45223278298

Median: ma = 10.2476950766
Median: mb = 7.8989866919
Median: mc = 7.8989866919

Inradius: r = 2.73325202043
Circumradius: R = 5.90441954413

Vertex coordinates: A[11; 0] B[0; 0] C[2.90990909091; 7.45223278298]
Centroid: CG[4.63663636364; 2.48441092766]
Coordinates of the circumscribed circle: U[5.5; 2.14769801605]
Coordinates of the inscribed circle: I[4; 2.73325202043]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.3532627473° = 137°21'9″ = 0.74443370679 rad
∠ B' = β' = 111.3243686263° = 111°19'25″ = 1.19986277928 rad
∠ C' = γ' = 111.3243686263° = 111°19'25″ = 1.19986277928 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.