Question

PLEASE HELP!

Solve the following problem.
Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
In a triangle, the middle length side is 3 more than the shortest side, and the longest side is double the middle length side.
The perimeter of the triangle is 45 cm.
Find the lengths of the sides.

Answer 1

Let s be the shortest side and l the longest side and m the middle side.
Translate your problem into equations

Answer 2

Here is one of them
s+l +m =45

Answer 3

m = s+ 3

Answer 4

l =2 m

Answer 5

replace in the first equation
s+l +m =45
s+ 2m + m=45
s + 3 m =45
s +3(s+3) =45
s + 3 s + 9 =45
4s=36
s=9
Can you find the other sides now?

Answer 6

m = s+3=9+3=12

Answer 7

l = 2 m= 24

Answer 8

Could you list it using V.E.S.T ? @eliassaab

Answer 9

What is VEST? The first time I hear about it.

Answer 10

Variable, Equation, Solve, Try it.

Answer 11

That is what I did. To try it
24+12+9 =45

Answer 12

24 = 2(12)
12 = 3+9

Answer 13

V
Short side=x
Middle=3+x
Long= 2(3+x)

Answer 14

E
Since the perimeter=45, that means all 3 sides =45 so

x+3+x+2(x+3)=45
Distribute
x+3+x+2x+6=45
Combine like terms
4x+9=45
Subtract 9 on both sides
4x=36
Divide both sides by 4.
x=?

Answer 15

Once u find x, plug in what x is into the 3 expression in V.

For t, once u find all 3 lengths, add it all up and see if it adds up to 45. That's test it!

Answer 16

how do i divide 4x and 4 ? wpuld that be x? Then the answer for x would be 9?

Answer 17

@nikato

Answer 18

What is "solve"?

Answer 19

sorry. the website wasnt loading for me at first.

u solved when u started distributing the equation. and when u solved it, u got x=9