# 8 8 11 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 8   c = 11

Area: T = 31.95221126062
Perimeter: p = 27
Semiperimeter: s = 13.5

Angle ∠ A = α = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ B = β = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ C = γ = 86.86550731156° = 86°51'54″ = 1.51660815309 rad

Height: ha = 7.98880281516
Height: hb = 7.98880281516
Height: hc = 5.80994750193

Median: ma = 8.74664278423
Median: mb = 8.74664278423
Median: mc = 5.80994750193

Inradius: r = 2.3676823156
Circumradius: R = 5.50882429813

Vertex coordinates: A[11; 0] B[0; 0] C[5.5; 5.80994750193]
Centroid: CG[5.5; 1.93664916731]
Coordinates of the circumscribed circle: U[5.5; 0.3011232038]
Coordinates of the inscribed circle: I[5.5; 2.3676823156]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ B' = β' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ C' = γ' = 93.13549268844° = 93°8'6″ = 1.51660815309 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.