# 14 22 25 triangle

### Acute scalene triangle.

Sides: a = 14   b = 22   c = 25

Area: T = 153.3854932441
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 33.90112619969° = 33°54'5″ = 0.59216886424 rad
Angle ∠ B = β = 61.22112541029° = 61°13'16″ = 1.06985124563 rad
Angle ∠ C = γ = 84.87774839002° = 84°52'39″ = 1.48113915549 rad

Height: ha = 21.91221332059
Height: hb = 13.94440847674
Height: hc = 12.27107945953

Median: ma = 22.48333271559
Median: mb = 17.01546995272
Median: mc = 13.55554417117

Inradius: r = 5.02990141784
Circumradius: R = 12.55501245094

Vertex coordinates: A[25; 0] B[0; 0] C[6.74; 12.27107945953]
Centroid: CG[10.58; 4.09902648651]
Coordinates of the circumscribed circle: U[12.5; 1.12105468312]
Coordinates of the inscribed circle: I[8.5; 5.02990141784]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.0998738003° = 146°5'55″ = 0.59216886424 rad
∠ B' = β' = 118.7798745897° = 118°46'43″ = 1.06985124563 rad
∠ C' = γ' = 95.12325160998° = 95°7'21″ = 1.48113915549 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    