Guidelines

Are all three altitudes of a triangle equal?

Are all three altitudes of a triangle equal?

If all the three altitudes of a triangle are equal, then the triangle is equilateral.

Are two altitudes of a triangle are equal?

If 2 altitudes of a triangle are equal then the triangle formed is an isosceles triangle.

Are altitudes equal in an equilateral triangle?

Three kinds of cevians coincide, and are equal, for (and only for) equilateral triangles: The three altitudes have equal lengths. The three medians have equal lengths. The three angle bisectors have equal lengths.

What is true about altitude of triangle?

An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).

How many median Can a triangle have?

three medians
Showing that the three medians of a triangle divide it into six smaller triangles of equal area.

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In what type of triangle does the altitude from one vertex of a triangle bisect the opposite side?

isosceles
If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles.

Are altitudes of isosceles triangle?

An isosceles triangle has two sides of equal length and two equal sides join at the same angle to the base i.e. the third side. Thus, in an isosceles triangle, the altitude is perpendicular from the vertex which is common to the equal sides.

In which of the following Traingle the two altitudes of the triangle are two of its sides?

Answer: Isosceles triangle is the triangle in which the two altitudes of the triangle are two of its sides.

Is altitude same as height?

True altitude is the actual elevation above mean sea level. It is indicated altitude corrected for non-standard temperature and pressure. Height is the vertical distance above a reference point, commonly the terrain elevation.

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In which triangle altitude and median are same?

equilateral triangle
However, in the case of an equilateral triangle, the median and altitude are always the same.