Question

the length of two sides of a triangle are 12 cm and 15 cm .between what two measures should the length of third side fall

Answer 1

Answer:

Step-by-step explanation:

A triangle  ABC has 3 sides and they have to satisfy the following.

 

    | a - b |  <  c < (a+b)  

length of a side must be less the sum of the other two and more than the difference between the other two.

Hence,  the third side,  has to be more than  (15-12) = 3 cm.   Also it has to be less than (15+12) = 27 cm.     It is in between  3 cm and 27 cm.

or

by Pythagoras we have the min limit of third side as  

Let the length of third side be L

= 3 cm  

and we know the sum of any two sides > the third side so 12 + 15 = 27 cm  

so the third side ( L) must lie between  

3 < L < 27 cm

Hope Helpful.....

                                                      -Jai