Trapezoid EFGH ~ trapezoid MNOP, How do I find the indicated value?

label Algebra
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Jul 16th, 2015

Thank you for the opportunity to help you with your question!

for trapezoid EFGH

x^2+2^2=3^2

x^2=9-4

x^2=5

x=sqrt(5)


two trapezoid are similar

therefore

x/2=3/y=4/z

sqrt(5)/2=3/y

y=6/sqrt(5)


z=8/sqrt(5)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 16th, 2015

Awesome Thanks!

Jul 16th, 2015

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