# 18 27 27 triangle

### Acute isosceles triangle.

Sides: a = 18   b = 27   c = 27

Area: T = 229.1032597104
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 38.9422441269° = 38°56'33″ = 0.68796738189 rad
Angle ∠ B = β = 70.52987793655° = 70°31'44″ = 1.23109594173 rad
Angle ∠ C = γ = 70.52987793655° = 70°31'44″ = 1.23109594173 rad

Height: ha = 25.45658441227
Height: hb = 16.97105627485
Height: hc = 16.97105627485

Median: ma = 25.45658441227
Median: mb = 18.55439753153
Median: mc = 18.55439753153

Inradius: r = 6.36439610307
Circumradius: R = 14.3198912319

Vertex coordinates: A[27; 0] B[0; 0] C[6; 16.97105627485]
Centroid: CG[11; 5.65768542495]
Coordinates of the circumscribed circle: U[13.5; 4.7732970773]
Coordinates of the inscribed circle: I[9; 6.36439610307]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.0587558731° = 141°3'27″ = 0.68796738189 rad
∠ B' = β' = 109.4711220634° = 109°28'16″ = 1.23109594173 rad
∠ C' = γ' = 109.4711220634° = 109°28'16″ = 1.23109594173 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.