# 17 27 27 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 27   c = 27

Area: T = 217.8310639489
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 36.69992693976° = 36°41'57″ = 0.64105230841 rad
Angle ∠ B = β = 71.65503653012° = 71°39'1″ = 1.25105347848 rad
Angle ∠ C = γ = 71.65503653012° = 71°39'1″ = 1.25105347848 rad

Height: ha = 25.62771340575
Height: hb = 16.13656029251
Height: hc = 16.13656029251

Median: ma = 25.62771340575
Median: mb = 18.07662274825
Median: mc = 18.07662274825

Inradius: r = 6.13660743518
Circumradius: R = 14.22332057312

Vertex coordinates: A[27; 0] B[0; 0] C[5.35218518519; 16.13656029251]
Centroid: CG[10.78439506173; 5.37985343084]
Coordinates of the circumscribed circle: U[13.5; 4.47876758783]
Coordinates of the inscribed circle: I[8.5; 6.13660743518]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.3010730602° = 143°18'3″ = 0.64105230841 rad
∠ B' = β' = 108.3549634699° = 108°20'59″ = 1.25105347848 rad
∠ C' = γ' = 108.3549634699° = 108°20'59″ = 1.25105347848 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.