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Chapter 6: Q7. (page 212)

Complete the following statement with the word always, sometimes, or never.

An altitude of a triangle is _____ median.

Short Answer

Expert verified

The complete statement is 鈥淎n altitude of a triangle is sometimes median鈥�.

Step by step solution

01

Step 1. Apply the concept of the median.

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, such that bisecting that side. Thus, every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

02

Step 2. Step description.

Only an equilateral triangle has altitude which is a median.

03

Step 3. Step description.

Since except equilateral triangle, no triangle has altitude which is a median, therefore, an altitude of a triangle is sometimes median.

Therefore, the statement is 鈥淎n altitude of a triangle is sometimes median鈥�.

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