zxcvbnmas wrote:

What is the perimeter of isosceles triangle LMN?

1) Side LM has a length of 4

(2) Side MN has a length of \(4\sqrt{2}\)

Dear

zxcvbnmas,

I'm happy to respond.

First of all, as you may know, this is a

Veritas question. Also, as you may know, any math question from any reasonably popular source is likely already to be posted here. This question already has a long thread here:

in-isosceles-triangle-lmn-what-is-the-measure-of-angle-n-205668.htmlTechnically, my friend, you have violated the norms of the GMAT Club forum by opening a brand new thread for a question rather than adding your question to the thread already in existence. Always search for a question before starting a new thread. Presumably,

Bunuel will merge this thread into that one.

Briefly, I will say that, even if we know both statements, we don't know which side is repeated. The triangle could have sides

(a) 4 and 4 and \(4\sqrt{2}\) -- an

Isosceles Right Triangle, i.e. a 45-45-90 triangle

or

(b) 4 and \(4\sqrt{2}\) and \(4\sqrt{2}\) -- an acute isosceles triangle

Because we can't determine between these, the answer is (E).

Does all this make sense?

Mike

_________________

Mike McGarry

Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)