# 16 18 24 triangle

### Acute scalene triangle.

Sides: a = 16   b = 18   c = 24

Area: T = 143.9976527736
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 41.80990791939° = 41°48'33″ = 0.73297060892 rad
Angle ∠ B = β = 48.58988113619° = 48°35'20″ = 0.84880347379 rad
Angle ∠ C = γ = 89.60221094442° = 89°36'8″ = 1.56438518265 rad

Height: ha = 187.999565967
Height: hb = 165.9996141929
Height: hc = 121.9997106447

Median: ma = 19.64768827044
Median: mb = 18.30330052177
Median: mc = 12.08330459736

Inradius: r = 4.96553975081
Circumradius: R = 122.0002893623

Vertex coordinates: A[24; 0] B[0; 0] C[10.58333333333; 121.9997106447]
Centroid: CG[11.52877777778; 43.9999035482]
Coordinates of the circumscribed circle: U[12; 0.08333353428]
Coordinates of the inscribed circle: I[11; 4.96553975081]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.1910920806° = 138°11'27″ = 0.73297060892 rad
∠ B' = β' = 131.4111188638° = 131°24'40″ = 0.84880347379 rad
∠ C' = γ' = 90.39878905558° = 90°23'52″ = 1.56438518265 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    