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PostPosted: Thu Nov 20, 2014 9:57 am 
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Joined: Wed Nov 28, 2012 5:39 pm
Posts: 8
Hi. Can someone explain this to me.

Nina has some sticks of different lengths. She can lay the sticks end to end to make triangles.
She chooses sticks with lengths:
2cm, 3cm, 5cm, 6cm, 8cm.

Which of these sets of three sticks can Nina use to make a triangle.

A 2cm, 3cm, 5cm
B 2cm, 3cm, 6cm
C 2cm, 3cm, 8cm
D 3cm, 5cm, 6cm
E 3cm, 5cm, 8cm


The Answer given is D but I'm not sure how they arrived at this.

** They had a picture of a scalene triangle.


Thanks.


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PostPosted: Thu Nov 20, 2014 11:08 am 
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Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11931
If you have a triangle then think about the lengths of the two shorter sides compared to the longest.

e.g. 2, 3, 5 can't be a triangle because 2 + 3 = 5 and the two sticks are the same length as the third

...... .........
----------------

Sorry, hard to draw - try with some practical equipment so you can see the limitations on lengths of sides.


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PostPosted: Thu Nov 20, 2014 11:09 am 
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Joined: Wed Jul 01, 2009 1:04 pm
Posts: 1186
Triangle has 3 sides.
The length of the longest side must always be less than the total length of the other 2 sides.
Try drawing a triangle with sides 2,3 and 5. You will only be able to draw a line.


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PostPosted: Thu Nov 20, 2014 12:12 pm 
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Joined: Wed Nov 28, 2012 5:39 pm
Posts: 8
Thanks a lot to everyone who responded. Really helped a lot.
Much appreciated!


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