# 4 22 24 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 22   c = 24

Area: T = 39.6866269666
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 8.64658643504° = 8°38'45″ = 0.15108987996 rad
Angle ∠ B = β = 55.77111336722° = 55°46'16″ = 0.97333899101 rad
Angle ∠ C = γ = 115.5833001977° = 115°34'59″ = 2.01773039438 rad

Height: ha = 19.8433134833
Height: hb = 3.60878426969
Height: hc = 3.30771891388

Median: ma = 22.93546898824
Median: mb = 13.22987565553
Median: mc = 10.2965630141

Inradius: r = 1.58774507866
Circumradius: R = 13.30443494499

Vertex coordinates: A[24; 0] B[0; 0] C[2.25; 3.30771891388]
Centroid: CG[8.75; 1.10223963796]
Coordinates of the circumscribed circle: U[12; -5.74550599897]
Coordinates of the inscribed circle: I[3; 1.58774507866]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.354413565° = 171°21'15″ = 0.15108987996 rad
∠ B' = β' = 124.2298866328° = 124°13'44″ = 0.97333899101 rad
∠ C' = γ' = 64.41769980226° = 64°25'1″ = 2.01773039438 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.