how do I find the missing lengths to a trapezoid?

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how do I find the missing lengths to a trapezoid?

Mathematics
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do you have the other sides and the area or perimeter?
i have the two bases

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i am trying to figure out how to find the height specifically
can you sketch it? |dw:1438139990906:dw|
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The formula for the area of a trapezium is: \[A = \left(\frac{a+b}2\right)\times h\]
but how do i find the height?
you have a value for the area \(A\), and you have the lengths of the bases \(a\), \(b\) solve for the height \(h\)
|dw:1438140350883:dw|
rearranging \[A = \left(\frac{a+b}2\right)\times h\\\qquad\Downarrow\\A\times\left(\frac{2}{a+b}\right)=h\]
yeah, you can substitute the values in before rearranging, if you want to
the height is 96??
no wait
height is 6?
yes
6, yes!
thanks
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welcome
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