Thread: Altitudes and Medians

Hi guys,

So I had a question about altitudes and medians. If two altitudes of a triangle are congruent to each other, then the medians of the corresponding sides are also congruent. Is this statement always true or is there an exception?

Thanks - blahblahblah1234

Originally Posted by blahblahblah1234

Hi guys,

So I had a question about altitudes and medians. If two altitudes of a triangle are congruent to each other, then the medians of the corresponding sides are also congruent. Is this statement always true or is there an exception?

Thanks - blahblahblah1234

note that the area of a triangle is

if is an altitude, then is the side perpendicular to that altitude

so ...



if , what does that say about the lengths of the two corresponding sides, and ?

further ... what kind of triangle would this be, and what can you say about the lengths of the medians to these two corresponding sides?

Thanks skeeter, haha. Soo the triange would be isoceles or equilateral and the medians would be congruent to the altitudes. Thanks again.