# 18 23 25 triangle

### Acute scalene triangle.

Sides: a = 18   b = 23   c = 25

Area: T = 198.9977487421
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 43.80217464419° = 43°48'6″ = 0.76444846935 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 74.01663928427° = 74°59″ = 1.29218297556 rad

Height: ha = 22.11108319357
Height: hb = 17.3044129341
Height: hc = 15.92197989937

Median: ma = 22.27110574513
Median: mb = 18.5
Median: mc = 16.43992822228

Inradius: r = 6.03302268916
Circumradius: R = 13.00326767349

Vertex coordinates: A[25; 0] B[0; 0] C[8.4; 15.92197989937]
Centroid: CG[11.13333333333; 5.30765996646]
Coordinates of the circumscribed circle: U[12.5; 3.58804472169]
Coordinates of the inscribed circle: I[10; 6.03302268916]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.1988253558° = 136°11'54″ = 0.76444846935 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 105.9843607157° = 105°59'1″ = 1.29218297556 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.