SOLUTION: the longest side of triangle is twice as long the shortest side and 2cm lnger than the third side.if the perimeter of the triangle is 33cm,what is the length of each side?

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Question 542388: the longest side of triangle is twice as long the shortest side and 2cm lnger than the third side.if the perimeter of the triangle is 33cm,what is the length of each side?
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let's use L as the variable for our longest side.

Then our 3 sides should be:

L

L%2F2

L-2

Then because we have a perimeter of 33 cm, we just need to add the three sides:

L%2BL%2F2%2B%28L-2%29=33

L%2BL%2F2%2BL-2=33

Let's multiply both sides of the equation by 2 (each term), to clear the fractions:

2%2AL%2B2%2AL%2F2%2B2%2AL-2%2A2=66

2L%2BL%2B2L-4=66

5L-4=66

5L=70

L=14

Thus, our longest side is 14 cm,

the shortest side is 7 cm,

and the third side is 12 cm.

14%2B7%2B12=33

33=33 is true, so our answer is correct.

I hope this helps!