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Triangle Properties -Medians and Altitudes of a Triangle
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Question: In what type of triangle at least one median coincides with an altitude?
A ) either isosceles or equilateral
B ) isosceles
C ) equilateral
D ) right angled
Steps to derive
2
In an isosceles triangle, the median from the vertex containing the congruent sides is perpendicular to the base.
3
In an equilateral triangle, the median from any vertex to the opposite side will be perpendicular to that side.
4
So, in isosceles triangle and equilateral triangle, at least one median coincides with an altitude.
Hence the right answer is Option A
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