Tuesday

July 22, 2014

July 22, 2014

Posted by **alex** on Sunday, February 8, 2009 at 11:42pm.

how would you prove that the perimeter is infinite?

- math -
**drwls**, Monday, February 9, 2009 at 2:08amYou start out with three sides of length a, and the figure perimeter is 3a.

After the first step you described, you have a figure with 12 sides of length a/3. The perimeter is now 4a.

After a similar second step, you will have 48 sides of length a/9. The perimeter is now 5.33 a

After N such steps, you have 3*4^N sides of length a/3^N, with a perimeter of = 3a*(4/3)^N

That number clearly becomes infinite as N becomes infinite

**Related Questions**

geometry - Rewrite the statement in if-then form. All equilateral triangles have...

Math - An equilateral triangle s divided into 4 congruent equilateral triangles...

math - my daughter is working on calculating how many triangles point up in ...

Math - An equilateral triangle is one in with all three sides are length. If two...

geometry - Theres a circle with an equilateral triangle in the middle. The ...

Calc HELP! - an equilateral triangle is one in with all three sides are length. ...

geometry - One equilateral triangle has sides 5 ft long. Another equilateral ...

Maths - An equilateral triangle with side length 33 is divided into 33^2 smaller...

Maths - An equilateral triangle with side length 33 is divided into 33^2 smaller...

mathematics - An equilateral triangle with side length 33 is divided into 332 ...