# 6 27 27 triangle

### Acute isosceles triangle.

Sides: a = 6   b = 27   c = 27

Area: T = 80.498844719
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 12.75987404169° = 12°45'31″ = 0.22326820287 rad
Angle ∠ B = β = 83.62106297916° = 83°37'14″ = 1.45994553125 rad
Angle ∠ C = γ = 83.62106297916° = 83°37'14″ = 1.45994553125 rad

Height: ha = 26.833281573
Height: hb = 5.963284794
Height: hc = 5.963284794

Median: ma = 26.833281573
Median: mb = 14.15109716981
Median: mc = 14.15109716981

Inradius: r = 2.6833281573
Circumradius: R = 13.58441129633

Vertex coordinates: A[27; 0] B[0; 0] C[0.66766666667; 5.963284794]
Centroid: CG[9.22222222222; 1.988761598]
Coordinates of the circumscribed circle: U[13.5; 1.50993458848]
Coordinates of the inscribed circle: I[3; 2.6833281573]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.2411259583° = 167°14'29″ = 0.22326820287 rad
∠ B' = β' = 96.37993702084° = 96°22'46″ = 1.45994553125 rad
∠ C' = γ' = 96.37993702084° = 96°22'46″ = 1.45994553125 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.