# 13 27 27 triangle

### Acute isosceles triangle.

Sides: a = 13   b = 27   c = 27

Area: T = 170.3388449858
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 27.86105271851° = 27°51'38″ = 0.48662579307 rad
Angle ∠ B = β = 76.07697364075° = 76°4'11″ = 1.32876673614 rad
Angle ∠ C = γ = 76.07697364075° = 76°4'11″ = 1.32876673614 rad

Height: ha = 26.20659153628
Height: hb = 12.61876629524
Height: hc = 12.61876629524

Median: ma = 26.20659153628
Median: mb = 16.33224829711
Median: mc = 16.33224829711

Inradius: r = 5.08547298465
Circumradius: R = 13.90990733888

Vertex coordinates: A[27; 0] B[0; 0] C[3.13296296296; 12.61876629524]
Centroid: CG[10.04332098765; 4.20658876508]
Coordinates of the circumscribed circle: U[13.5; 3.34884806306]
Coordinates of the inscribed circle: I[6.5; 5.08547298465]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.1399472815° = 152°8'22″ = 0.48662579307 rad
∠ B' = β' = 103.9330263593° = 103°55'49″ = 1.32876673614 rad
∠ C' = γ' = 103.9330263593° = 103°55'49″ = 1.32876673614 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.