# 7 15 19 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 15   c = 19

Area: T = 47.78327113086
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 19.59218322609° = 19°35'31″ = 0.34219419795 rad
Angle ∠ B = β = 45.93438251762° = 45°56'2″ = 0.80216964874 rad
Angle ∠ C = γ = 114.4744342563° = 114°28'28″ = 1.99879541868 rad

Height: ha = 13.6522203231
Height: hb = 6.37110281745
Height: hc = 5.03297590851

Median: ma = 16.75655960801
Median: mb = 12.19663109177
Median: mc = 6.83773971656

Inradius: r = 2.33108639663
Circumradius: R = 10.43878756739

Vertex coordinates: A[19; 0] B[0; 0] C[4.86884210526; 5.03297590851]
Centroid: CG[7.95661403509; 1.67765863617]
Coordinates of the circumscribed circle: U[9.5; -4.32442627792]
Coordinates of the inscribed circle: I[5.5; 2.33108639663]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.4088167739° = 160°24'29″ = 0.34219419795 rad
∠ B' = β' = 134.0666174824° = 134°3'58″ = 0.80216964874 rad
∠ C' = γ' = 65.52656574372° = 65°31'32″ = 1.99879541868 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.