# 18 24 30 triangle

### Right scalene Pythagorean triangle.

Sides: a = 18   b = 24   c = 30

Area: T = 216
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 24
Height: hb = 18
Height: hc = 14.4

Median: ma = 25.6322011236
Median: mb = 21.63333076528
Median: mc = 15

Inradius: r = 6
Circumradius: R = 15

Vertex coordinates: A[30; 0] B[0; 0] C[10.8; 14.4]
Centroid: CG[13.6; 4.8]
Coordinates of the circumscribed circle: U[15; 0]
Coordinates of the inscribed circle: I[12; 6]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 90° = 1.57107963268 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.