+0  
 
0
54
1
avatar

A student has sticks of lengths 5 cm and 9 cm. She wants to use a third stick to form a triangle. What are the possible lengths of the third side?
 

 Feb 28, 2020
 #1
avatar+109499 
+1

We  can  use  the triangle inequality to  solve this

 

n  <  5 + 9              n + 5  >  9

n <  14                   n >  4

 

So  the possible   lengths, n,  for  the third side are  

 

4 <  n  <  14

 

If  we want integer  lengths  we  get   n =  5,6,7,8,9,10,11,12,13

 

cool cool cool

 Feb 28, 2020

50 Online Users

avatar
avatar
avatar
avatar
avatar
avatar