# 14 29 30 triangle

### Acute scalene triangle.

Sides: a = 14   b = 29   c = 30

Area: T = 200.0989823579
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 27.38655979365° = 27°23'8″ = 0.47879688516 rad
Angle ∠ B = β = 72.32877617415° = 72°19'40″ = 1.2622357583 rad
Angle ∠ C = γ = 80.2876640322° = 80°17'12″ = 1.4011266219 rad

Height: ha = 28.58442605113
Height: hb = 13.79992981779
Height: hc = 13.3399321572

Median: ma = 28.66218212959
Median: mb = 18.37879759495
Median: mc = 17.1321841699

Inradius: r = 5.48219129748
Circumradius: R = 15.21881652496

Vertex coordinates: A[30; 0] B[0; 0] C[4.25; 13.3399321572]
Centroid: CG[11.41766666667; 4.4466440524]
Coordinates of the circumscribed circle: U[15; 2.56875968463]
Coordinates of the inscribed circle: I[7.5; 5.48219129748]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.6144402064° = 152°36'52″ = 0.47879688516 rad
∠ B' = β' = 107.6722238259° = 107°40'20″ = 1.2622357583 rad
∠ C' = γ' = 99.7133359678° = 99°42'48″ = 1.4011266219 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.