SOLUTION: Hi ! I solved a word problem yesterday without any help and I was very pleased with myself. However I am just not feeling this problem. Please help me? "One side of a triangle

Question 9773: Hi !
I solved a word problem yesterday without any help and I was very pleased with myself. However I am just not feeling this problem. Please help me? "One side of a triangle is 2cm shorter than the base. The other side is 3cm longer than the base. WHAT LENGHTS OF THE BASE WILL ALLOW THE PERIMETER TO BE GREATER THAN 19 CM?"
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Try this:
Let b cm = the length of the base.
The short side of the triangle would be (b-2) cm.
The long side of the triangle would be (b+3) cm
The perimeter is found by adding the three sides of the triangle, but you want this to be > 19 cm.
So, you can write:
Solve this inequality for b.
Subtract 1 from both sides.
Divide both sides by 3.

The length of the base would have to be greater than 6 cm in order for the perimeter of this triangle to be greater than 19 cm.
Check:
Try b = 7 cm (since 7 > 6)
7 + (7-2) + (7+3) = 7 + 5 + 10 = 22 and 22 > 19

RELATED QUESTIONS
I need to solve this problem using Systems of Equations and Inequalities. I am looking... (answered by stanbon)

Hi! I have been trying to use old, retired ACT exams to prepare to take the actual... (answered by josgarithmetic,MathLover1,MathTherapy)

I have been struggling with a word problem. The problem is "Best rentals charges a daily (answered by math_tutor2020,ikleyn,josgarithmetic,MathTherapy)

This deals with average rate of change. I got answers but I have a feeling that they are... (answered by solver91311)

Would you pls help me with this, I fell that is not very difficult but I don�t know what... (answered by lynnlo)

Hi. I am writing is to inform you that I really need help in solving distance word... (answered by 24HoursTutor.com)

Hi please help me! Thank you so much! I need just the problem written out and not... (answered by ikleyn)

hi, I am very lost and I don't know how to make a word problem with these equations... (answered by Alan3354)

Could someone help me with this problem: Determine the equation of the line that has a... (answered by venugopalramana)