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?

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) (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:

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

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

Thus, our longest side is 14 cm,

the shortest side is 7 cm,

and the third side is 12 cm.

is true, so our answer is correct.

I hope this helps!

RELATED QUESTIONS
A triangle has perimeter of 115 cm. The longest side is twice as long as the shortest... (answered by Alan3354)

A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest... (answered by solver91311,jackiewalker123,Alan3354)

Hi!!! Im Very Confused with this problem: The Longest side of a triangle is twice as... (answered by nerdybill)

the perimeter of a triangle is 142cm. the medium side is 8cm longer than the shortest... (answered by josgarithmetic)

The perimeter of a triangle is 24cm. One side is 2cm. longer than the shortest side. The (answered by stanbon)

a trinagle has a perimeter of 46cm. The longest is twice as long as the shortest side.... (answered by scott8148)

One side of a triangle is four centimeters longer than the shortest side. The third side (answered by orca)

The perimeter of a triangle is 34in. The middle side is twice as long as the shortest... (answered by Greenfinch)

In a triangle, the longest side is double the shortest side and the third side is 3 cm... (answered by Maths68,MathLover1)