# 14 21 25 triangle

### Acute scalene triangle.

Sides: a = 14   b = 21   c = 25

Area: T = 146.9699384567
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 34.048773237° = 34°2'52″ = 0.59442450327 rad
Angle ∠ B = β = 57.12216504356° = 57°7'18″ = 0.99769608743 rad
Angle ∠ C = γ = 88.83106171944° = 88°49'50″ = 1.55503867466 rad

Height: ha = 20.99656263667
Height: hb = 13.99770842445
Height: hc = 11.75875507654

Median: ma = 22
Median: mb = 17.32877234512
Median: mc = 12.73877392029

Inradius: r = 4.89989794856
Circumradius: R = 12.50326038955

Vertex coordinates: A[25; 0] B[0; 0] C[7.6; 11.75875507654]
Centroid: CG[10.86766666667; 3.91991835885]
Coordinates of the circumscribed circle: U[12.5; 0.25551551815]
Coordinates of the inscribed circle: I[9; 4.89989794856]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.952226763° = 145°57'8″ = 0.59442450327 rad
∠ B' = β' = 122.8788349564° = 122°52'42″ = 0.99769608743 rad
∠ C' = γ' = 91.16993828056° = 91°10'10″ = 1.55503867466 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.