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If r = 17.2 mm and p = 10.4 mm, which of the following is the range that represents a possible length for q in this triangle?
A) 6.8 mm < q < 27.6 mm
B) q >= 6.8 mm
C) 6.8 mm <= q <= 27.6 mm
D)q <= 27.6 mm
 one year ago
 one year ago
If r = 17.2 mm and p = 10.4 mm, which of the following is the range that represents a possible length for q in this triangle? A) 6.8 mm < q < 27.6 mm B) q >= 6.8 mm C) 6.8 mm <= q <= 27.6 mm D)q <= 27.6 mm
 one year ago
 one year ago

This Question is Closed

tcarroll010Best ResponseYou've already chosen the best response.0
In a triangle, the measure (length) of no one side can be equal to or greater than the sum of the measures of the other 2 sides. So, look for an expression where "q" does not go over a certain value.
 one year ago

babybri_Best ResponseYou've already chosen the best response.0
I'm sorry lol I'm a little confused..
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
dw:1355068873536:dwnp, if you have 2 sides that are 5 and 7, then the third side has to be less than 5 + 7 or 12, because you would have something like this otherwise:
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
And in that case, you would see that the 2 shortest sides could never connect.
 one year ago

babybri_Best ResponseYou've already chosen the best response.0
Oooh okay okay I get it
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
This is one of those "a picture says a thousand words" problems!
 one year ago

babybri_Best ResponseYou've already chosen the best response.0
Thank's for your help!
 one year ago

babybri_Best ResponseYou've already chosen the best response.0
Like the ones that say <= ?
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
Actually, I just saw the correct answer. It is indeed listed correctly. But it is a little tricky, so I'll stick around if you want to try it out.
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
Definitely. Here's a hint: that relationship that I described above has to hold for all 3 types. That is: p < q + r q < p + r r < p + q So, that is the trick. All 3 relationships have to be satisfied.
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
One more hint: 2 of the selections look very similar and it will be the one with the inequalities in it, not the mixed "inequality with equality"
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
So, back to my example of where you have 2 sides where one is 5 and one is 7. The third side has to be shorter than 12, but it also has to longer than 2 2 < third side < 12 because if it is longer than (or equal to) 12, then it is greater than (or =) 5 + 7 if it is shorter than (or =) 2, then 7 is greater than (or =) 5 + the third side
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.0
So, with this information, are you able to get the correct range now?
 one year ago

phiBest ResponseYou've already chosen the best response.0
one way to see the answer: hook together r = 17.2 mm and p = 10.4 mm with a hinge. if you close them, you get the shortest possible 3rd side if you open them into a line, you get the longest possible 3rd side dw:1355073170590:dw
 one year ago
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