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AD and BE are altitudes of triangle ABC.  If AC = 10, BC = 8, and AD = 5, then find BE.

 Jun 13, 2020
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\(\frac{AD*BC}2=\frac{BE*AC}2\) because in a triangle, all of the altitudes * the corresponding bases divided by two equal the area. They are in the same triangle, so the areas must be equal. 

Now, substitute the values and solve for BE. 

You should be able to finish the arithmetic. 

 Jun 13, 2020
edited by thelizzybeth  Jun 13, 2020

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