# 18 25 29 triangle

### Acute scalene triangle.

Sides: a = 18   b = 25   c = 29

Area: T = 223.3744125628
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 38.03994925009° = 38°2'22″ = 0.66439143899 rad
Angle ∠ B = β = 58.85326100785° = 58°51'9″ = 1.02771718193 rad
Angle ∠ C = γ = 83.10878974207° = 83°6'28″ = 1.45105064444 rad

Height: ha = 24.8199347292
Height: hb = 17.87699300502
Height: hc = 15.40551121123

Median: ma = 25.53442906696
Median: mb = 20.64658228221
Median: mc = 16.2565768207

Inradius: r = 6.2054836823
Circumradius: R = 14.6065541223

Vertex coordinates: A[29; 0] B[0; 0] C[9.31103448276; 15.40551121123]
Centroid: CG[12.77701149425; 5.13550373708]
Coordinates of the circumscribed circle: U[14.5; 1.75326649468]
Coordinates of the inscribed circle: I[11; 6.2054836823]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.9610507499° = 141°57'38″ = 0.66439143899 rad
∠ B' = β' = 121.1477389922° = 121°8'51″ = 1.02771718193 rad
∠ C' = γ' = 96.89221025793° = 96°53'32″ = 1.45105064444 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.