# 22 23 24 triangle

### Acute scalene triangle.

Sides: a = 22   b = 23   c = 24

Area: T = 228.1966050579
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 55.77111336722° = 55°46'16″ = 0.97333899101 rad
Angle ∠ B = β = 59.81218683052° = 59°48'43″ = 1.04439140337 rad
Angle ∠ C = γ = 64.41769980226° = 64°25'1″ = 1.12442887097 rad

Height: ha = 20.74550955072
Height: hb = 19.8433134833
Height: hc = 19.01663375483

Median: ma = 20.77325780778
Median: mb = 19.94436706752
Median: mc = 19.03994327647

Inradius: r = 6.61443782777
Circumradius: R = 13.30443494499

Vertex coordinates: A[24; 0] B[0; 0] C[11.06325; 19.01663375483]
Centroid: CG[11.68875; 6.33987791828]
Coordinates of the circumscribed circle: U[12; 5.74550599897]
Coordinates of the inscribed circle: I[11.5; 6.61443782777]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.2298866328° = 124°13'44″ = 0.97333899101 rad
∠ B' = β' = 120.1888131695° = 120°11'17″ = 1.04439140337 rad
∠ C' = γ' = 115.5833001977° = 115°34'59″ = 1.12442887097 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.