# 17 17 27 triangle

### Obtuse isosceles triangle.

Sides: a = 17   b = 17   c = 27

Area: T = 139.4821853659
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 37.4288005543° = 37°25'41″ = 0.65332419292 rad
Angle ∠ B = β = 37.4288005543° = 37°25'41″ = 0.65332419292 rad
Angle ∠ C = γ = 105.1443988914° = 105°8'38″ = 1.83551087952 rad

Height: ha = 16.41096298422
Height: hb = 16.41096298422
Height: hc = 10.33219891599

Median: ma = 20.8998564544
Median: mb = 20.8998564544
Median: mc = 10.33219891599

Inradius: r = 4.57331755298
Circumradius: R = 13.98656902445

Vertex coordinates: A[27; 0] B[0; 0] C[13.5; 10.33219891599]
Centroid: CG[13.5; 3.44439963866]
Coordinates of the circumscribed circle: U[13.5; -3.65437010846]
Coordinates of the inscribed circle: I[13.5; 4.57331755298]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.5721994457° = 142°34'19″ = 0.65332419292 rad
∠ B' = β' = 142.5721994457° = 142°34'19″ = 0.65332419292 rad
∠ C' = γ' = 74.85660110861° = 74°51'22″ = 1.83551087952 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.