# 17 19 25 triangle

### Acute scalene triangle.

Sides: a = 17   b = 19   c = 25

Area: T = 161.3799018153
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 42.8043849759° = 42°48'14″ = 0.74770681108 rad
Angle ∠ B = β = 49.41440330126° = 49°24'51″ = 0.86224375728 rad
Angle ∠ C = γ = 87.78221172284° = 87°46'56″ = 1.532208697 rad

Height: ha = 18.98657668415
Height: hb = 16.98772650687
Height: hc = 12.91103214522

Median: ma = 20.51221914968
Median: mb = 19.15107180022
Median: mc = 12.99903810568

Inradius: r = 5.29111153493
Circumradius: R = 12.509937094

Vertex coordinates: A[25; 0] B[0; 0] C[11.06; 12.91103214522]
Centroid: CG[12.02; 4.30334404841]
Coordinates of the circumscribed circle: U[12.5; 0.48441087825]
Coordinates of the inscribed circle: I[11.5; 5.29111153493]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.1966150241° = 137°11'46″ = 0.74770681108 rad
∠ B' = β' = 130.5865966987° = 130°35'9″ = 0.86224375728 rad
∠ C' = γ' = 92.21878827716° = 92°13'4″ = 1.532208697 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.