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  1. 7th
  2. Maths
  3. The Triangle and Its Properties
  4. Medians and Altitudes of a Triangle

Medians and Altitudes of a Triangle

The Triangle and Its Properties
Maths
Class 7

Overview

Define a median. Show that a median always lies in the interior of a triangle. Define an altitude. Show that an altitude may lie in the exterior of a triangle for an obtuse triangle. Show that the altitude coincides with the median for a side between equal angles.

Related Questions to study

In %%\triangle ABC, AB=BC=AC=4$$. Then its length of altitude is _______

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If the length of a median of an equilateral triangle is cm, then its area, is

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State true or false:

In , and is perpendicular to side , then 

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The length of an altitude of an equilateral triangle of side 2a is

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Fill in the blanks in the following so that each of the following statements is true.
If altitudes CE and BE of a triangle ABC are equal,then AB = .......

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The sides of a right triangle are and cm long. Find the sum of the squares of the medians. 

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In an acute angled triangle ABC, AP is the altitude. Circle drawn with AP as its diameter cuts the sides AB and AC at D and E, respectively, then length DE is equal to 

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If D is any point on the side BC of such that and are equal in area, then

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In a triangle  with vertices ,  and  Find the length of altitude, from the vertex .

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In  segments and are the altitudes. If and then equals:

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