# 17 18 19 triangle

### Acute scalene triangle.

Sides: a = 17   b = 18   c = 19

Area: T = 139.4277400463
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 54.62334598481° = 54°37'24″ = 0.95333592232 rad
Angle ∠ B = β = 59.69222793231° = 59°41'32″ = 1.04218268122 rad
Angle ∠ C = γ = 65.68442608288° = 65°41'3″ = 1.14664066182 rad

Height: ha = 16.40332235839
Height: hb = 15.49219333848
Height: hc = 14.67765684698

Median: ma = 16.43992822228
Median: mb = 15.62204993518
Median: mc = 14.70554411699

Inradius: r = 5.16439777949
Circumradius: R = 10.42547801735

Vertex coordinates: A[19; 0] B[0; 0] C[8.57989473684; 14.67765684698]
Centroid: CG[9.19329824561; 4.89221894899]
Coordinates of the circumscribed circle: U[9.5; 4.2932556542]
Coordinates of the inscribed circle: I[9; 5.16439777949]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.3776540152° = 125°22'36″ = 0.95333592232 rad
∠ B' = β' = 120.3087720677° = 120°18'28″ = 1.04218268122 rad
∠ C' = γ' = 114.3165739171° = 114°18'57″ = 1.14664066182 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.