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Mathematics 17 Online
OpenStudy (angela210793):

there is a triangle ABC, inside the triangle a square of side length "x" has been drawn... with on vertex on AB, one on AC and two on BC.... Find the perimeter of the triangle...

OpenStudy (watchmath):

Is ABC equilateral?

OpenStudy (angela210793):

I asked 4 informations 2 but tht's it....no further information...O.o

OpenStudy (watchmath):

Do you have the picture of it?

OpenStudy (angela210793):

No i don't...a friend of mine asked me this...no pic...sorry :(

OpenStudy (anonymous):

i guess it mus be an equilateral,otherwise square is hard to fit inside

OpenStudy (angela210793):

|I can't even imagine how it may b..O.o

OpenStudy (anonymous):

means with vertices on the sides

OpenStudy (angela210793):

Assume it is equilateral....how do u solve it?

OpenStudy (watchmath):

Draw the height line and notice that you have two similar triangles.

OpenStudy (watchmath):

well actually three similar triangles

OpenStudy (angela210793):

we want triangle's perimeter...

OpenStudy (watchmath):

yes, I just give you a hint since I know that you are capable of doing this :)

OpenStudy (angela210793):

doesn't the height split the triangle in 2 triangles? where did the 3rd come from? O.o

OpenStudy (watchmath):

correct but you have another triangle on the right of your square

OpenStudy (watchmath):

which is already there before you split by the height

OpenStudy (angela210793):

I think i got it...i think i'm solving it...can u just tell me wht's h=? in a equilateral triangle? i don't remember it...:(:(

OpenStudy (watchmath):

you can use pythagorean to find the h in terms of the length of the triangle

OpenStudy (angela210793):

No i'm not looking 4 this 1...cause i'll use this later...it is a*sqr2/2 right?

OpenStudy (watchmath):

I mean if you forget you can always use the Pythagorean theorem to find out that.

OpenStudy (angela210793):

Yea Ok...:) Thnx a lot :)

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