# 18 24 29 triangle

### Acute scalene triangle.

Sides: a = 18   b = 24   c = 29

Area: T = 215.4965794623
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 38.26107140477° = 38°15'39″ = 0.66877754343 rad
Angle ∠ B = β = 55.65548921569° = 55°39'18″ = 0.9711361113 rad
Angle ∠ C = γ = 86.08443937954° = 86°5'4″ = 1.50224561063 rad

Height: ha = 23.94439771803
Height: hb = 17.95879828852
Height: hc = 14.86217789395

Median: ma = 25.05499500998
Median: mb = 20.94403915914
Median: mc = 15.48438625672

Inradius: r = 6.07703040739
Circumradius: R = 14.53439263139

Vertex coordinates: A[29; 0] B[0; 0] C[10.15551724138; 14.86217789395]
Centroid: CG[13.05217241379; 4.95439263132]
Coordinates of the circumscribed circle: U[14.5; 0.99224787645]
Coordinates of the inscribed circle: I[11.5; 6.07703040739]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.7399285952° = 141°44'21″ = 0.66877754343 rad
∠ B' = β' = 124.3455107843° = 124°20'42″ = 0.9711361113 rad
∠ C' = γ' = 93.91656062046° = 93°54'56″ = 1.50224561063 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.