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For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.

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โˆ™ 2012-07-06 01:52:12
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Q: Can the median of an equilateral triangle be longer than its altitude?
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Related questions

What triangle has an altitude which is also a median and angle bisector?

An isosceles or an equilateral triangle perhaps?

Can the median and altitude of a triangle meet in the same line segment?

Yes, if the triangle is isosceles or equilateral.

When is a median and an altitude the same segment?

In an isosceles or equilateral triangle, when from the vertex that is different from the others.

Is it possible for one line segment to be a median an angle biseptor and an altitude all at the same time?

yes in an equilateral triangle

Is median and the altitude of a triangle the same?

The median is a line from a vertex to the midpoint of the opposite line and an altitude is a line from a vertex to the opposite line which is perpendicular to the line. These are NOT the same thing in most triangles. The only time they could be the same is in an equilateral triangle.

What ratio does a median divide two equilateral triangle?

A median divides any triangle in half.

Is the angle bisector also the median in an equilateral triangle?

No. The angle bisector is a line. Where the three lines meet is the median. In an equilateral triangle the INTERSECTION of the angle bisectors is the median.

Could the median of a triangle be the perpendicular bisector?

Yes in equilateral triangle.

If a median of a triangle is also an altitude of a triangle then is the triangle isosceles?


How do you make a model of median and altitude of a triangle?

median intersect each other at a point inside triangle and altitude intrsect eachother at apoint outside triangle

A segment that connects a vertex of a triangle to the midpoint of the opposite side?

median or altitude * * * * * Median: Yes Altitude: No.

What is the median of an isosceles triangle is the same segment in the triangle?

Altitude APEXX

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