# 19 22 25 triangle

### Acute scalene triangle.

Sides: a = 19   b = 22   c = 25

Area: T = 201.6333330578
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 47.15663569564° = 47°9'23″ = 0.82330336921 rad
Angle ∠ B = β = 58.10111663341° = 58°6'4″ = 1.01440566518 rad
Angle ∠ C = γ = 74.74224767095° = 74°44'33″ = 1.30545023097 rad

Height: ha = 21.22545611135
Height: hb = 18.33303027798
Height: hc = 16.13106664462

Median: ma = 21.54664614264
Median: mb = 19.2877301522
Median: mc = 16.31771688721

Inradius: r = 6.11101009266
Circumradius: R = 12.95766872328

Vertex coordinates: A[25; 0] B[0; 0] C[10.04; 16.13106664462]
Centroid: CG[11.68; 5.37768888154]
Coordinates of the circumscribed circle: U[12.5; 3.41096545349]
Coordinates of the inscribed circle: I[11; 6.11101009266]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.8443643044° = 132°50'37″ = 0.82330336921 rad
∠ B' = β' = 121.8998833666° = 121°53'56″ = 1.01440566518 rad
∠ C' = γ' = 105.258752329° = 105°15'27″ = 1.30545023097 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.