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Mathematics 23 Online
OpenStudy (anonymous):

Geometry help please! "A median of an equilateral triangle is 2 root 3 / 3 inches long. What is the length of each side of the equilateral triangle?

OpenStudy (anonymous):

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OpenStudy (anonymous):

@Isaiah.Feynman

OpenStudy (isaiah.feynman):

Okay.

OpenStudy (isaiah.feynman):

If you have an equilateral triangle, they have a certain property. If they have sides "a" then the median is

OpenStudy (anonymous):

Hmm ok..

OpenStudy (anonymous):

Still kinda confused..

OpenStudy (isaiah.feynman):

It says whatever the length of the median is, the sides are just two times the number infront of the root 3.

OpenStudy (isaiah.feynman):

See in my example, the length of the other sides is just 2(a/2) which gives you a.

OpenStudy (anonymous):

So the sides = 4?

OpenStudy (isaiah.feynman):

You mean for your question?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

or would the sides = 2

OpenStudy (isaiah.feynman):

They would be 2(2/3) which is 4/3.

OpenStudy (anonymous):

ohh ok i see

OpenStudy (anonymous):

I divided the 2 by a/ 2 but i see now cool thanks alot

OpenStudy (isaiah.feynman):

There is a way to understand this. If you take an equilateral and cut it into half... you will see that that the median is always root3 times half the base.

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