# 22 24 25 triangle

### Acute scalene triangle.

Sides: a = 22   b = 24   c = 25

Area: T = 240.561067322
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 53.3098942622° = 53°18'32″ = 0.93304165695 rad
Angle ∠ B = β = 61.01773038786° = 61°1'2″ = 1.06549528534 rad
Angle ∠ C = γ = 65.67437534995° = 65°40'25″ = 1.14662232307 rad

Height: ha = 21.86991521109
Height: hb = 20.04767227683
Height: hc = 19.24548538576

Median: ma = 21.89774884405
Median: mb = 20.26107995894
Median: mc = 19.33326149292

Inradius: r = 6.77663569921
Circumradius: R = 13.71879529631

Vertex coordinates: A[25; 0] B[0; 0] C[10.66; 19.24548538576]
Centroid: CG[11.88766666667; 6.41549512859]
Coordinates of the circumscribed circle: U[12.5; 5.65108613058]
Coordinates of the inscribed circle: I[11.5; 6.77663569921]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.6911057378° = 126°41'28″ = 0.93304165695 rad
∠ B' = β' = 118.9832696121° = 118°58'58″ = 1.06549528534 rad
∠ C' = γ' = 114.3266246501° = 114°19'34″ = 1.14662232307 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.