Please help. I have an equilateral triangle with sides 3x-4, 2x-6, and x. Write and solve an equation to find x.

Question

Please help.  I have an equilateral triangle with sides 3x-4, 2x-6, and x.  Write and solve an equation to find x.

blowery · Answer

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blowery · Answer

@triciaal

irishboy123 · Answer

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blowery · Answer

I'm supposed to solve for x

danjs · Answer

false, is it equilateral and did you type all the sides in correctly?

blowery · Answer

I typed it exactly as it appeared in the homework, but I think there has to be a typo.  What if the x at the base did not exist, then I could say 3x-4 = 2x+6, and x would equal 10.  I think the teacher goofed up!!

danjs · Answer

Still if it is Equilateral, all sides are equal, so 

x = 2x - 6
x = 3x - 4
3x - 4 = 2x - 6

danjs · Answer

all 3 give diffferent values

blowery · Answer

@danjs I see your point exactly, but I drew the triangle exactly as it appeared.  Do you agree that this problem cannot be solved?

blowery · Answer

@danjs thank you

danjs · Answer

welcome, as long as you know how to solve it, that works

blowery · Answer

@danjs I do not know how to solve it as written because the three equations yield different values for x, and thus different lengths for the 3 sides.  It is equilateral, so something must be wrong with the problem

irishboy123 · Answer

welcome, as long as you know how to solve it, that works|dw:1474334035147:dw|