The spiral in the picture is made from 45º right triangles. The smallest triangle (red) has a side length of 1. You can use the Pythagorean theorem to find the length of its hypotenuse. The next (orange) triangle has a side length exactly matching the hypotenuse of the smallest triangle, and so on with the larger triangles of other colors. The lengths of the hypotenuses of all the triangles (starting with the smallest) make a geometric sequence. What is the ratio of the sequence?
Before you try to answer this question, use the Pythagorean theorem to find the length of the hypotenuses of the

Question

The spiral in the picture is made from 45º right triangles. The smallest triangle (red) has a side length of 1. You can use the Pythagorean theorem to find the length of its hypotenuse. The next (orange) triangle has a side length exactly matching the hypotenuse of the smallest triangle, and so on with the larger triangles of other colors. The lengths of the hypotenuses of all the triangles (starting with the smallest) make a geometric sequence. What is the ratio of the sequence?
Before you try to answer this question, use the Pythagorean theorem to find the length of the hypotenuses of the

anonymous · Answer

A.	2
 		B.	$$\sqrt{3}$$
 		C.	$$\sqrt{2}$$ 	
          	D.	90
 		E.	45

anonymous · Answer

@Godlovesme  could you help?

godlovesme · Answer

is there a pic i'll try

anonymous · Answer

there is.... But i would have to draw it

godlovesme · Answer

what about a screen shot or pm me if u can

anonymous · Answer

i can't screen shot on school computer.. But I can wing it. :3

godlovesme · Answer

omg lol

godlovesme · Answer

|dw:1422230555279:dw|
is it something like that?

anonymous · Answer

close but more going in a circle with the triangles. 
starting small and getting bigger

godlovesme · Answer

http://media.apexlearning.com/Images/200511/11/6cbca889-9da0-4680-b710-2d3b05f1068c.gif is that the pic? @Tallan

anonymous · Answer

its off apex.. but it wont let me view

godlovesme · Answer

attachment

godlovesme · Answer

@Tallan  how about it now?

anonymous · Answer

Yes that's the one sorry my internet went down.. @Godlovesme

godlovesme · Answer

it's fine hang on i'm trying to solve

anonymous · Answer

ok

godlovesme · Answer

https://answers.yahoo.com/question/index?qid=20101112071757AAoEgy0 check this link out ^^^^ sorry i couldn't solve it :(

anonymous · Answer

ok so im thinking its $$\sqrt{2}$$

godlovesme · Answer

me too

anonymous · Answer

WE WERE RIGHT :D

godlovesme · Answer

YAY :D  
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