# 18 23 29 triangle

### Acute scalene triangle.

Sides: a = 18   b = 23   c = 29

Area: T = 206.9788259728
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 38.36217507117° = 38°21'42″ = 0.67695388567 rad
Angle ∠ B = β = 52.46986519758° = 52°28'7″ = 0.91657507311 rad
Angle ∠ C = γ = 89.17695973125° = 89°10'11″ = 1.55663030658 rad

Height: ha = 22.99875844142
Height: hb = 17.99881095416
Height: hc = 14.27443627399

Median: ma = 24.57664114549
Median: mb = 21.21990951739
Median: mc = 14.70554411699

Inradius: r = 5.91436645637
Circumradius: R = 14.50215230293

Vertex coordinates: A[29; 0] B[0; 0] C[10.96655172414; 14.27443627399]
Centroid: CG[13.32218390805; 4.75881209133]
Coordinates of the circumscribed circle: U[14.5; 0.21101670004]
Coordinates of the inscribed circle: I[12; 5.91436645637]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.6388249288° = 141°38'18″ = 0.67695388567 rad
∠ B' = β' = 127.5311348024° = 127°31'53″ = 0.91657507311 rad
∠ C' = γ' = 90.83304026875° = 90°49'49″ = 1.55663030658 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.