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Jon would like to create a triangle below, but he needs exact dimensions. If the traingle given has the same perimeter as a square with a side length of 9, what is the value of y?

Jon Would Like To Create A Triangle Below But He Needs Exact Dimensions If The Traingle Given Has The Same Perimeter As A Square With A Side Length Of 9 What Is class=

Sagot :

For this case we know that the perimeter is given by:

[tex]P=y+9+2y+4y-1[/tex]

And if we solve the algebra we got:

[tex]P=7y+8[/tex]

And we know that the perimeter is equal to the perimeter of a square of 9 of lenght and we know that the perimeter is:

[tex]P=4x=4\cdot9=36[/tex]

We can set up the perimeter equal to this number we got:

[tex]36=7y+8[/tex]

Now we can solve for y we got:

[tex]y=\frac{36-8}{7}=\frac{28}{7}=4[/tex]

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