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I need help with altitudes

 

Triangle ABC has altitudes AD, BE, and CF.  If AD = 12, BE = 12, and CF is a positive integer, then find the largest possible value of CF.

 Jun 5, 2023
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1/12  +  1/12 > 1/A, solve for A

 

A > 6

 

CF ==7 - is the minimum. Because this is an isosceles triangle, there is no ceiling to the 3rd altitude.

 Jun 5, 2023

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