Given that in a triangle ABC, AB=3, BC=4 and the midpoints of the altitudes of the triangle are collinear, find all possible values of the length of AC.
The midpoints of a right triangle are collinear in a right triangle. This can be seen by using the midpoint connector theorem.
So either AC is the hypotenuse and has length 5 or it's one of the legs and has length sqrt(7).
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Posted by Jer
on 2020-11-28 11:08:31 |
Solution
