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I need help with geometry!! Find the values of the variables. Picture shown

I need help with geometry!! Find the values of the variables. Picture shown-example-1

1 Answer

3 votes
so hmm notice the picture below

dropping a line from the right-angle, perpendicular to the hypotenuse line, produces, 3 similar triangles, a Large one, containing the two small ones, a Medium and a Small one

now, using proportions, we can use those sides as
\bf \cfrac{large}{small}\qquad \cfrac{3+x}{6}=\cfrac{6}{3}\impliedby \textit{solve for

once you get "x", you just plug that in the 2nd proportion to get "y"
and you can also use the value of "x" to get "z" on the last proportion
I need help with geometry!! Find the values of the variables. Picture shown-example-1
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User Jmborr
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