Question

the three altitudes be the three medians of a triangle

Answer 1

yes ....
.

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Answer 2

Hey...
It is not always that altitude is the median of a triangle. As altitude is always 90°, but median is not always be 90°, Median always divides the triangle into two equal parts. Hence, it cannot be said that altitude is median of the triangle.
Hope this would help you.
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@ Saadya