18 20 24 triangle

Acute scalene triangle.

Sides: a = 18   b = 20   c = 24

Area: T = 176.1566180703
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 47.22114422911° = 47°13'17″ = 0.82441696455 rad
Angle ∠ B = β = 54.64105803778° = 54°38'26″ = 0.95436580328 rad
Angle ∠ C = γ = 78.13879773311° = 78°8'17″ = 1.36437649753 rad

Height: ha = 19.5732908967
Height: hb = 17.61656180703
Height: hc = 14.68796817253

Median: ma = 20.17442410018
Median: mb = 18.70882869339
Median: mc = 14.76548230602

Vertex coordinates: A[24; 0] B[0; 0] C[10.41766666667; 14.68796817253]
Centroid: CG[11.47222222222; 4.89332272418]
Coordinates of the circumscribed circle: U[12; 2.52204906137]
Coordinates of the inscribed circle: I[11; 5.6822457442]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.7798557709° = 132°46'43″ = 0.82441696455 rad
∠ B' = β' = 125.3599419622° = 125°21'34″ = 0.95436580328 rad
∠ C' = γ' = 101.8622022669° = 101°51'43″ = 1.36437649753 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    