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anonymous
 5 years ago
"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.
anonymous
 5 years ago
"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.

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mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0Have you tried drawing a picture of the triangle and its lengths?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So far I have h^2 + b^2 = (h+2)^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[h = \sqrt{c^{2}  b^{2}},\], where c = h + 2 is the hypotenuse. Then \[h = \sqrt{(h + 2)^{2}  b^{2}}\] \[h^{2} = h^{2}+ 4h + 4  b^{2}\]\[4h = b^{2}  4\] \[h = (b^{2}  4)/4.\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh! I see. I was solving for the wrong variable. Thanks!
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