# 17 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 17   b = 19   c = 27

Area: T = 160.2887827049
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 38.67551276498° = 38°40'30″ = 0.67550083161 rad
Angle ∠ B = β = 44.30105298893° = 44°18'2″ = 0.77331901069 rad
Angle ∠ C = γ = 97.02443424609° = 97°1'28″ = 1.69333942305 rad

Height: ha = 18.85773914175
Height: hb = 16.87224028472
Height: hc = 11.8733172374

Median: ma = 21.74328149052
Median: mb = 20.46333819297
Median: mc = 11.94878031453

Inradius: r = 5.0898502446
Circumradius: R = 13.60220934349

Vertex coordinates: A[27; 0] B[0; 0] C[12.16766666667; 11.8733172374]
Centroid: CG[13.05655555556; 3.95877241247]
Coordinates of the circumscribed circle: U[13.5; -1.6633413903]
Coordinates of the inscribed circle: I[12.5; 5.0898502446]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.325487235° = 141°19'30″ = 0.67550083161 rad
∠ B' = β' = 135.6999470111° = 135°41'58″ = 0.77331901069 rad
∠ C' = γ' = 82.97656575391° = 82°58'32″ = 1.69333942305 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.