# 5 22 24 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 22   c = 24

Area: T = 52.38773792053
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 11.4465576394° = 11°26'44″ = 0.21997629929 rad
Angle ∠ B = β = 60.8243604145° = 60°49'25″ = 1.06215721553 rad
Angle ∠ C = γ = 107.7310819461° = 107°43'51″ = 1.88802575055 rad

Height: ha = 20.95549516821
Height: hb = 4.76224890187
Height: hc = 4.36656149338

Median: ma = 22.88655849827
Median: mb = 13.3987761007
Median: mc = 10.51218980208

Inradius: r = 2.05444070277
Circumradius: R = 12.59884542463

Vertex coordinates: A[24; 0] B[0; 0] C[2.43875; 4.36656149338]
Centroid: CG[8.81325; 1.45552049779]
Coordinates of the circumscribed circle: U[12; -3.8376801975]
Coordinates of the inscribed circle: I[3.5; 2.05444070277]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.5544423606° = 168°33'16″ = 0.21997629929 rad
∠ B' = β' = 119.1766395855° = 119°10'35″ = 1.06215721553 rad
∠ C' = γ' = 72.2699180539° = 72°16'9″ = 1.88802575055 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.