# 15 17 19 triangle

### Acute scalene triangle.

Sides: a = 15   b = 17   c = 19

Area: T = 121.6277248181
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 48.86604895851° = 48°51'38″ = 0.85327764174 rad
Angle ∠ B = β = 58.59771135386° = 58°35'50″ = 1.02327125634 rad
Angle ∠ C = γ = 72.54223968763° = 72°32'33″ = 1.26661036728 rad

Height: ha = 16.21769664241
Height: hb = 14.30990880213
Height: hc = 12.80328682295

Median: ma = 16.39435963108
Median: mb = 14.85876579581
Median: mc = 12.91331715701

Inradius: r = 4.77696960071
Circumradius: R = 9.95987059489

Vertex coordinates: A[19; 0] B[0; 0] C[7.81657894737; 12.80328682295]
Centroid: CG[8.93985964912; 4.26876227432]
Coordinates of the circumscribed circle: U[9.5; 2.98876117847]
Coordinates of the inscribed circle: I[8.5; 4.77696960071]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.1439510415° = 131°8'22″ = 0.85327764174 rad
∠ B' = β' = 121.4032886461° = 121°24'10″ = 1.02327125634 rad
∠ C' = γ' = 107.4587603124° = 107°27'27″ = 1.26661036728 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.