question about parallelogram

topsquark

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Aug 27, 2012
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if the sides in a parallelogram are 3 cm and 5 cm can the diagonal in the parallelogram be 10 cm? 8 cm? 4 cm? why?
Make a sketch. Can you have a triangle with a sides 3 cm and 5 cm with a diagonal of 10 cm? What would the triangle have to look like?


-Dan
 

The Highlander

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Feb 18, 2022
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if the sides in a parallelogram are 3 cm and 5 cm can the diagonal in the parallelogram be 10 cm? 8 cm? 4 cm? why?
Do you know as well as understand the triangle inequality?

The-Triangle-Inequality.png

Imagine for yourself (in your mind's eye) what happens to the length of side c as the vertex C moves up and down. 😊
 
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pka

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Jan 29, 2005
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It's obvious for us, but I think you get a better feel for it, and are therefore more likely to remember it, if you put pen to paper. Call me old-fashioned!!
It could be the case that no pen and ruler are allowed, think an ACT type test.
The question is clearly testing the concept of the triangle inequality.
 

Harry_the_cat

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Mar 16, 2016
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It could be the case that no pen and ruler are allowed, think an ACT type test.
The question is clearly testing the concept of the triangle inequality.
Yeah sure but if the poster can post on a math help site, they surely have access to a pen and ruler.
 
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