   Chapter 4.2, Problem 14E 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 Exercises 11 to 14 , assume that X , Y , and Z are midpoints of the sides of ∆ R S T .If the perimeter (sum of the lengths of all three sides) of ∆ X Y Z is 12.7, what is the perimeter of ∆ R S T ?

To determine

To find:

The perimeter of the RST.

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,

The perimeter of XYZ=12.7 units.

X, Y, Z are the midpoints of the sides of RST

By the application of the ‘theorem 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’, we have

XY=12RT

Multiply; by 2 on both sides,

2XY=2·12

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 