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enya.gold
 2 years ago
Best ResponseYou've already chosen the best response.0I would use my trusty Distance Formula, although I'm not sure which is which to plug in.

enya.gold
 2 years ago
Best ResponseYou've already chosen the best response.0\[d = \sqrt(x _{2}  x _{1})^2 + (y _{2}  y _{1})^2\]

enya.gold
 2 years ago
Best ResponseYou've already chosen the best response.0\[d = \sqrt (a  (b)^{2} + (0  c)^2\]

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2What is it that you are trying to do? Perimeter? Area? Other?

enya.gold
 2 years ago
Best ResponseYou've already chosen the best response.0"Find the lengths of the diagonals of this trapezoid."

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2Okay, first, we should observe symmetry and decide that the two diagonals are the same length. Agreed?

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2Super. Now, it appears you started working with (a,0) and (b,c). It also appears that you are having some notaiton problems. That's probably why you are struggling with it. There are parentheses missing. \(d = \sqrt{(a(b))^{2} + (0c)^{2}} = \sqrt{(a+b)^{2}+(c)^{2}}\) That's what you had, it's just written with all the symbols int eh right places. Can we do nything else with it?

enya.gold
 2 years ago
Best ResponseYou've already chosen the best response.0Eh, no, that's precisely what I had in mind! :)

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2We might be able to do one more thing. Draw a perpendicular line from (b,c) down to the xaxis. You should see a right triangle. Can we say anything about the relationship of a, b, and c because of this right triangle?

enya.gold
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1357966403862:dw My drawing is not entirely accurate, but I only see a scalene triangle and equilateral triangle?

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2No, no, that't not perpendicular to the xaxis. It should hit the xaxis at (b,0), not at (0,0). It is a vertical line segment.

enya.gold
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1357966687931:dw

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.2That's it. The one on the right is the one I was looking for. Anyway, my little right triangle leads to \((ab)^{2} + c^{2} = (ab)^{2} + (c)^{2}\) and we don't manage to learn anything, so let's just let that go. It can be very useful to poke around a little. In this case, we didn't learn much, but it was worth the effort to learn to communicate better. :)
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