# 18 23 24 triangle

### Acute scalene triangle.

Sides: a = 18   b = 23   c = 24

Area: T = 195.0732903039
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 44.97440038116° = 44°58'26″ = 0.78549444443 rad
Angle ∠ B = β = 64.57106288227° = 64°34'14″ = 1.1276970073 rad
Angle ∠ C = γ = 70.45553673657° = 70°27'19″ = 1.23296781362 rad

Height: ha = 21.67547670043
Height: hb = 16.96328611338
Height: hc = 16.25660752532

Median: ma = 21.71440507506
Median: mb = 17.826554347
Median: mc = 16.8087736314

Inradius: r = 6.00222431704
Circumradius: R = 12.73437008949

Vertex coordinates: A[24; 0] B[0; 0] C[7.72991666667; 16.25660752532]
Centroid: CG[10.57663888889; 5.41986917511]
Coordinates of the circumscribed circle: U[12; 4.26599458308]
Coordinates of the inscribed circle: I[9.5; 6.00222431704]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.0265996188° = 135°1'34″ = 0.78549444443 rad
∠ B' = β' = 115.4299371177° = 115°25'46″ = 1.1276970073 rad
∠ C' = γ' = 109.5454632634° = 109°32'41″ = 1.23296781362 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.