# 14 24 30 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 24   c = 30

Area: T = 164.9244225025
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 27.26660444507° = 27°15'58″ = 0.47658822497 rad
Angle ∠ B = β = 51.75333801217° = 51°45'12″ = 0.90332668822 rad
Angle ∠ C = γ = 100.9810575428° = 100°58'50″ = 1.76224435218 rad

Height: ha = 23.5610603575
Height: hb = 13.74436854187
Height: hc = 10.9954948335

Median: ma = 26.24988094968
Median: mb = 20.10997512422
Median: mc = 12.68985775404

Inradius: r = 4.85107125007
Circumradius: R = 15.28797443773

Vertex coordinates: A[30; 0] B[0; 0] C[8.66766666667; 10.9954948335]
Centroid: CG[12.88988888889; 3.66549827783]
Coordinates of the circumscribed circle: U[15; -2.91104275004]
Coordinates of the inscribed circle: I[10; 4.85107125007]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.7343955549° = 152°44'2″ = 0.47658822497 rad
∠ B' = β' = 128.2476619878° = 128°14'48″ = 0.90332668822 rad
∠ C' = γ' = 79.01994245724° = 79°1'10″ = 1.76224435218 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.