# 20 23 24 triangle

### Acute scalene triangle.

Sides: a = 20   b = 23   c = 24

Area: T = 212.3965709702
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 50.3133467074° = 50°18'48″ = 0.87881356585 rad
Angle ∠ B = β = 62.24993215238° = 62°14'58″ = 1.08664556177 rad
Angle ∠ C = γ = 67.43772114021° = 67°26'14″ = 1.17770013773 rad

Height: ha = 21.24395709702
Height: hb = 18.4699192148
Height: hc = 17.76996424752

Median: ma = 21.27220473862
Median: mb = 18.86113361139
Median: mc = 17.903251379

Inradius: r = 6.34401704389
Circumradius: R = 12.99546127625

Vertex coordinates: A[24; 0] B[0; 0] C[9.31325; 17.76996424752]
Centroid: CG[11.10441666667; 5.98998808251]
Coordinates of the circumscribed circle: U[12; 4.98659764187]
Coordinates of the inscribed circle: I[10.5; 6.34401704389]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.6876532926° = 129°41'12″ = 0.87881356585 rad
∠ B' = β' = 117.7510678476° = 117°45'2″ = 1.08664556177 rad
∠ C' = γ' = 112.5632788598° = 112°33'46″ = 1.17770013773 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.