Chapter 4.2, Problem 11E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

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

# In Exercises 11 to 14 , assume that X , Y , and Z are midpoints of the sides of ∆ R S T .If R S = 12 , S T = 14 , and R T = 16 , find: a) X Y b) X Z c) Y Z

To determine

a)

To find:

The value of XY

Explanation

Approach:

The line segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to one half the length of the third side.

Calculation:

Given,

X, Y, and Z are the midpoints.

RS=12,

ST=14, and

RT=16

Here, X and Y are the midpoints of the sides RS and ST of the triangle RST

To determine

b)

To find:

The value of XZ.

To determine

c)

To find:

The value of YZ.

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