# 11 27 27 triangle

### Acute isosceles triangle.

Sides: a = 11   b = 27   c = 27

Area: T = 145.3866338767
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 23.50772512337° = 23°30'26″ = 0.41102789321 rad
Angle ∠ B = β = 78.24663743831° = 78°14'47″ = 1.36656568607 rad
Angle ∠ C = γ = 78.24663743831° = 78°14'47″ = 1.36656568607 rad

Height: ha = 26.43438797758
Height: hb = 10.76993584272
Height: hc = 10.76993584272

Median: ma = 26.43438797758
Median: mb = 15.58804364509
Median: mc = 15.58804364509

Inradius: r = 4.47334258082
Circumradius: R = 13.78991222587

Vertex coordinates: A[27; 0] B[0; 0] C[2.24107407407; 10.76993584272]
Centroid: CG[9.74769135802; 3.59897861424]
Coordinates of the circumscribed circle: U[13.5; 2.80988952749]
Coordinates of the inscribed circle: I[5.5; 4.47334258082]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.4932748766° = 156°29'34″ = 0.41102789321 rad
∠ B' = β' = 101.7543625617° = 101°45'13″ = 1.36656568607 rad
∠ C' = γ' = 101.7543625617° = 101°45'13″ = 1.36656568607 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.