if the sides of two similar triangles are in the ratio 4:9, what is the ratio of their perimeters?

Question

directrix · Answer

4:9
If two triangles are similar, the their scale factor is equal to the ratio of their perimeters.

lgbasallote · Answer

similar -> proportional -> the same when simplified

campbell_st · Answer

for each length of the original it has be multiplied by 9/4 to get the image lengths...

anonymous · Answer

Need more explaination.

lgbasallote · Answer

need more explanation huh...let's say 1:2 is your ratio..the ratios proportional to it are 2:4, 3:6, 4:8 , etc..all of which when simplifies becomes 1:2 get it now?

anonymous · Answer

solve my problem and explain how u got it please

directrix · Answer

@ravynn21 --> Question for you: Do you know or have you been exposed to the following theorem of Geometry:

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

anonymous · Answer

yes

anonymous · Answer

solve it

directrix · Answer

@ravynn21 --> I did above in the region immediately below your question. In Geometry, there's no getting around knowing the theorems. So here is your problem solved:
4:9 --> Answer.
If two triangles are similar, the their scale factor is equal to the ratio of their perimeters.

anonymous · Answer

ok now i understand thank you

directrix · Answer

Okay, just learn those theorems. Glad to help.