   Chapter 7.2, Problem 27E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Δ M N P , medians M B ¯ , N A ¯ and P C ¯ intersect at centroid Q .a) If M Q = 8 , find Q B .b) If Q C = 3 , find P Q .c) If A Q = 3.5 , find A N . Exercises 27, 28

To determine

(a)

To find:

The QB in the given triangle MNP.

Explanation

Definition:

The three medians of a triangle are congruent at a point that is two-thirds the distance from any vertex to the midpoint of the opposite side.

Given:

In ΔMNP, medians MB¯, NA¯ and PC¯ intersect at centroid Q. If MQ=8.

Calculation:

The point of concurrence Q for the three medians of a triangle is known as centroid of the triangle. In ΔMNP, medians MB¯, NA¯ and PC¯ intersect at centroid Q

To determine

(b)

To find:

The PQ in the given triangle MNP.

To determine

(c)

To find:

The AN in the given triangle MNP.

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