SOLUTION: The base of an isosceles triangle is 3 more than 2 times the length of the legs and the perimeter is 23. What is the length of the base?

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Question 945295: The base of an isosceles triangle is 3 more than 2 times the length of the legs and the perimeter is 23. What is the length of the base?

Found 3 solutions by lwsshak3, ikleyn, josgarithmetic:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The base of an isosceles triangle is 3 more than 2 times the length of the legs and the perimeter is 23. What is the length of the base?
***
let x=length of legs
2x+3=length of base (3 more than 2 times the length of the legs)
2(length+width)=perimeter
2x+2x+3)=23
4x=20
X=5
2x+3=13
length of base=13 units

Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.
The base of an isosceles triangle is 3 more than 2 times the length of the legs
and the perimeter is 23. What is the length of the base?
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As you read this fragment "The base of an isosceles triangle is 3 more than 2 times the length of the legs",
you can immediately throw this "problem" to the closest garbage bin, since it describes
a situation which NEVER may happen: such a triangle does not exist, because
the triangle inequality is VIOLATED.

Simply the person who created this "problem", does not know Math, does not know basic Math conceptions,
as well as their inter-relations, and does not know basic Math terminology.

But this does not stop him from inventing flawed Math "problems" and circulating them on the Internet.


Also, ignore the "solution" by @lwsshar3, since it is nonsense of the same degree as the "problem" itself.



Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
"2 times the length of the legs"
Is that one leg each, or the sum of both "legs"?

To assume one leg at a time, then
b=3%2B2x
and so perimeter is 23=%283%2B2x%29%2Bx%2Bx
23=4x%2B3
4x=20
x=5----each leg
and
2%2A5%2B3
13----the base

A check:
5%2B5%3C13
According to the assumption, the triangle does not work.

You can try the other assumption and check if that works or not.