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ellyk

"The hypotenuse of right triangle is 2 units longer than its height. Determine a formula for the height as a function of the base b.

  • 2 years ago
  • 2 years ago

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  1. mathteacher1729
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    Have you tried drawing a picture of the triangle and its lengths?

    • 2 years ago
  2. ellyk
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    So far I have h^2 + b^2 = (h+2)^2

    • 2 years ago
  3. abtrehearn
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    \[h = \sqrt{c^{2} - b^{2}},\], where c = h + 2 is the hypotenuse. Then \[h = \sqrt{(h + 2)^{2} - b^{2}}\] \[h^{2} = h^{2}+ 4h + 4 - b^{2}\]\[4h = b^{2} - 4\] \[h = (b^{2} - 4)/4.\]

    • 2 years ago
  4. ellyk
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    Oh! I see. I was solving for the wrong variable. Thanks!

    • 2 years ago
  5. abtrehearn
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    :^)

    • 2 years ago
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