Gentleman! Before we go out and play this game we need to have a discussion. Unfortunately, the field we are about to play on is smaller than our field back at the school. So we need a solution
Well aren't the field similar triangles? So we just need to take the measure of field and increase/decrease accordingly after we find the ratio that directly correlates to the relationship between the two, right?
Any Ideas?!
I wonder what I'm having for dinner today?
Nect up is the lengths of the field. Since Field 1 and 2 are similar that also means their lengths have to be similar. To figure this out...
It's simple coach. The measure of our fields angles is 180 --> this means their field has to equal 180 as well because it is a triangle
What in the HECK are you talking about?! What is all this mumbo jumbo about angles and lengths or whatever? How is any of this going to help us out, huh!? Matter of fact go run laps just because of your foolishness, Jimmy!
So what you're saying is similar triangles have corresponding sides in proportion?
Coach, I think Jimmy was trying to say if you make a proportion like a/b = c/d then ad=cd. Ex if our lengths made the
Yes, for example, if our sides were equal to 8/16 and the other side was x/24 the proportion would equal to 8/16=x/24
The ref outside told me one of their side lengths was 36 and he left before he could tell me the other one. I think our field back at home had the lengths 12/48
Jimmy is more "your guy" when it comes math... but I'm pretty sure x would equal 9
You can also use this principle to solve for the "height" of the field we are about to play on.