# 5 24 28 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 24   c = 28

Area: T = 38.81992928838
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 6.63444037907° = 6°38'4″ = 0.11657921901 rad
Angle ∠ B = β = 33.68105053841° = 33°40'50″ = 0.58878357127 rad
Angle ∠ C = γ = 139.6855090825° = 139°41'6″ = 2.43879647508 rad

Height: ha = 15.52877171535
Height: hb = 3.23549410737
Height: hc = 2.77328066346

Median: ma = 25.95766947048
Median: mb = 16.14400123916
Median: mc = 10.22325241501

Inradius: r = 1.36220804521
Circumradius: R = 21.63987249122

Vertex coordinates: A[28; 0] B[0; 0] C[4.16107142857; 2.77328066346]
Centroid: CG[10.72202380952; 0.92442688782]
Coordinates of the circumscribed circle: U[14; -16.54995277456]
Coordinates of the inscribed circle: I[4.5; 1.36220804521]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.3665596209° = 173°21'56″ = 0.11657921901 rad
∠ B' = β' = 146.3199494616° = 146°19'10″ = 0.58878357127 rad
∠ C' = γ' = 40.31549091747° = 40°18'54″ = 2.43879647508 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.