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Can you see that there are 3 similar triangles. I suggest working with the two smaller triangles, using the equivalent ratios of the legs. I would label the horzontal leg of the smallest triangle $y$.

Can you state $y$ in terms of $x$?

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- Mar 5, 2012

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Welcome to MHB, Zashmar!Hi everyone please help me with this homework question!

i need to solve for the left hand side of the tiangle, i hope the image uploaded succesfully i hav been having trouble lately though :/

View attachment 635

Yep if any clarrification is needed please reply and i will sort it out

Thanks

First step is to label the unknown parts so we can refer to them.

Let's call the small part on the right bottom "y".

That is, the horizontal distance from the right side of the square to the right corner.

And let's call the part of the top to the intersection "z".

That means that the part of the intersection to the right corner is (10-z).

Then you can set up 3 equations for the 3 rectangular triangles you have (Pythagoras).

Can you do that?

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Okay i think i am understanding you..

so do i use similtaneos equations?

So if i am right triangle 1 small bottom right:

(1)^{2} +y^{2} = 1+y^{2
so z=1+y
}Does that mean for triangle number 2(top of square to very point of triangle, second biggest triangle):

(x-1)^{2} +1=(10-1+y)^{2}

OKay so solve for x? and then sub back into equation?

X^{2} -1+1=99+y^{2 }(i am not sure i have expanded the brackets correctly)

so x=SQR(99)+y

then 99+y^{2} = 99+y^{2}

Wait i have gone wrong

so do i use similtaneos equations?

So if i am right triangle 1 small bottom right:

(1)

(x-1)

OKay so solve for x? and then sub back into equation?

X

so x=SQR(99)+y

then 99+y

Wait i have gone wrong

Last edited:

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Give it a shot!

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A new post generates a notification, but editing an old one doesn't.

Okay i think i am understanding you..

so do i use similtaneos equations?

So if i am right triangle 1 small bottom right:

(1)^{2}+y^{2}= 1+y^{2 so z=1+y }

Here I labeled the diagonal side as "z".Does that mean for triangle number 2(top of square to very point of triangle, second biggest triangle):

(x-1)^{2}+1=(10-1+y)^{2}

So with Pythagoras that is:

(x-1)

Btw, just now I'm deducing that with x you meant from the top to the far bottom.

Before I thought it was the part above the square.

You need yet another equation for the big triangle.OKay so solve for x? and then sub back into equation?

X^{2}-1+1=99+y^{2 }(i am not sure i have expanded the brackets correctly)

so x=SQR(99)+y

then 99+y^{2}= 99+y^{2}

Wait i have gone wrong

It has sides x, (1+y), and 10.

What would Pythagoras say about their relation?