What is the relationship between the arches of the regular hexagons constructed on the sides of the right triangle below?

the sides correspond to lengths 3, 4, and 5

Explanation: We are given the areas A of the regular hexagons. The general formula for an area of such a hexagon is:

where a is the side length of the hexagon.

Use the formula to solve for a:

for the three hexagon areas we are given:

a = 5  (yellow)

a = 4  (blue)

a = 3  (red)

Please let me know whether this answers your question, or whether you were looking for another type of relationship statement

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)