# 19 21 24 triangle

### Acute scalene triangle.

Sides: a = 19   b = 21   c = 24

Area: T = 191.332217189
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 49.39985335° = 49°23'55″ = 0.86221670552 rad
Angle ∠ B = β = 57.0533229556° = 57°3'12″ = 0.99657667046 rad
Angle ∠ C = γ = 73.5488236944° = 73°32'54″ = 1.28436588937 rad

Height: ha = 20.144022862
Height: hb = 18.22221116085
Height: hc = 15.94443476575

Median: ma = 20.45111613362
Median: mb = 18.92774932307
Median: mc = 16.03112195419

Inradius: r = 5.97991303716
Circumradius: R = 12.51222710747

Vertex coordinates: A[24; 0] B[0; 0] C[10.33333333333; 15.94443476575]
Centroid: CG[11.44444444444; 5.31547825525]
Coordinates of the circumscribed circle: U[12; 3.54435755174]
Coordinates of the inscribed circle: I[11; 5.97991303716]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.60114665° = 130°36'5″ = 0.86221670552 rad
∠ B' = β' = 122.9476770444° = 122°56'48″ = 0.99657667046 rad
∠ C' = γ' = 106.4521763056° = 106°27'6″ = 1.28436588937 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.