Asked by Harriet

Pretend you have 2 triangles that are similar.

Triangle 1 has sides that are 18 and 24.

Triangle 2 has sides that are x and 6.

What is the value of x?


-6
-8
-30
-72 <--- I chose this answer.
Answered by Reiny
It is not a matter of choosing an answer. You must determine the answer with some solution.
Why did you "choose" that answer?

I would assume that the sides are listed in the corresponding order.
In that case none of the answers given are correct. I got x = 4.5
Answered by Harriet
When I said chose, I meant I GOT THIS ANSWER. Plus, it's supposed to be proportions...

Oh, sorry about the negatives. They suppose to represent numbers or something like that.
Answered by Harriet
What I'm saying is that I did the problem, not guessed at it.

Please forgive me.
Answered by Reiny
Show me the steps that gave you 72, as I said, I got 4.5

x : 18 = 6 : 24 <-- following corresponding pattern
x/18 = 6/24
24x = 108
x = 108/24 = 4.5
Answered by Harriet
Well, I did cross multiplication.

24/x X 6/18
6x = 432
432 / 6 = 72

Or, am I doing something wrong here?
Answered by Reiny, where are you?
Please?
Answered by Reiny
First of all you don't have an equation, so "cross-multiplication" is a meaningless term.
You did not match up the corresponding numbers, which was my whole point, and objection to this question
your equation should have been:
24/6 = 18/x
or
6/24 = x/18 <--- I used that one
or
24/18 = 6/x
or
18/24 = x/6

In all of those cases I wrote the fractions in corresponding patterns and in each case, the cross-multiplication yields
24x = 108
x = 4.5
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