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anonymous

  • one year ago

how do I find the missing lengths to a trapezoid?

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  1. anonymous
    • one year ago
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    will award medal

  2. UnkleRhaukus
    • one year ago
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    do you have the other sides and the area or perimeter?

  3. anonymous
    • one year ago
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    i have the two bases

  4. anonymous
    • one year ago
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    i am trying to figure out how to find the height specifically

  5. UnkleRhaukus
    • one year ago
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    can you sketch it? |dw:1438139990906:dw|

  6. anonymous
    • one year ago
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    |dw:1438140016611:dw|

  7. anonymous
    • one year ago
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    |dw:1438140115245:dw|

  8. UnkleRhaukus
    • one year ago
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    The formula for the area of a trapezium is: \[A = \left(\frac{a+b}2\right)\times h\]

  9. anonymous
    • one year ago
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    but how do i find the height?

  10. UnkleRhaukus
    • one year ago
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    you have a value for the area \(A\), and you have the lengths of the bases \(a\), \(b\) solve for the height \(h\)

  11. anonymous
    • one year ago
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    |dw:1438140350883:dw|

  12. UnkleRhaukus
    • one year ago
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    rearranging \[A = \left(\frac{a+b}2\right)\times h\\\qquad\Downarrow\\A\times\left(\frac{2}{a+b}\right)=h\]

  13. UnkleRhaukus
    • one year ago
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    yeah, you can substitute the values in before rearranging, if you want to

  14. anonymous
    • one year ago
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    the height is 96??

  15. anonymous
    • one year ago
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    no wait

  16. anonymous
    • one year ago
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    height is 6?

  17. triciaal
    • one year ago
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    yes

  18. UnkleRhaukus
    • one year ago
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    6, yes!

  19. anonymous
    • one year ago
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    thanks

  20. triciaal
    • one year ago
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    |dw:1438140646616:dw|

  21. triciaal
    • one year ago
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    welcome

  22. UnkleRhaukus
    • one year ago
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    |dw:1438140814219:dw|