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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.

 Jul 24, 2023
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1/12 + 1/12 > CF

 

CF < 1/6 - which means CF has minmum of 7

 

Because triangle ABC is an isosceles triangle, CF has no maximum value as long as the angle between the two equal sides can be measured. It only has a minmum of 7 and up as high as you want.

 Jul 25, 2023

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