Please help! How would I write out 'The lengths of the sides of a triangle are in the ratio 5:6:7. If the perimeter is less than 54 cm, what is the length of the longest side?' into a inequality form?

Question

anonymous · Answer

this will create a system of equation containing two equations. First we draw a picture!

anonymous · Answer

|dw:1346888143879:dw|

anonymous · Answer

okay!

anonymous · Answer

then we have to write an inequality

anonymous · Answer

5*x+6*x+7*x<the perimeter they gave us as the largest possible.

anonymous · Answer

does that make sense?

anonymous · Answer

Wouldn't it be less than or equal to 54 on the right side though?

anonymous · Answer

yeah, you are right.

anonymous · Answer

then solve inequality for x.
your final answer will be the calculated longest side.