Chapter 4.2, Problem 12E

### 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 X Y = 6 , Y Z = 8 , and X Z = 10 , find: a) R S b) S T C) R T

To determine

a)

To find:

The value of RS.

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 midpoints

XY=6,

YZ=8, and

XZ=10

Here, Z and Y are the midpoints of the sides RT and ST of the triangle RST

To determine

b)

To find:

The value of ST

To determine

c)

To find:

The value of RT

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