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Median is also called _________ in an equilateral triangle. Fill in the blanks to make the statement true.

Solution:

Given, the median is also called _________ in an equilateral triangle.

We have to fill in the blanks to make the statement true.

The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a median of the triangle.

From the properties of Median of Equilateral Triangle,

(i) All the three median will be equal.

(ii) The median bisects the opposite side, dividing it into two equal parts.

(iii) The median of a triangle further divides the triangle into two triangles having the same area.

(iv) Every triangle has 3 medians, one from each vertex. The point of concurrency of 3 medians forms the centroid of the triangle.

(v) Each median of a triangle divides the triangle into two smaller triangles that have equal areas. In fact, the 3 medians divide the triangle into 6 smaller triangles of equal area.

Median is also called _________ in an equilateral triangle

Since an equilateral triangle has sides of equal length and each angle equal to 60 degrees, the length of each median will be equal.

Therefore, the median of an equilateral triangle is also called the altitude.

✦ Try This: The _______ of a triangle is the intersection of the three medians of the triangle. Fill in the blanks to make the statement true

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 53

Median is also called _________ in an equilateral triangle. Fill in the blanks to make the statement true.

Summary:

Median is also called the altitude in an equilateral triangle.

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