Chapter 4.1, Problem 18E

### 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 17 and 18, consider with V X - ⊥ R S - and V Y - ⊥ S T - .a) Which line segment isthe altitude of with respect to base R S - ?b) Which number is theheight of with respect to base R S - ?

To determine

a.

To find:

The line segment which is the altitude of RSTV respect to the base RS¯.

Explanation

Given:

Consider â–±RSTV with VXÂ¯ âŠ¥ RSÂ¯ and VYÂ¯ âŠ¥ STÂ¯ and the diagram as shown below.

Definition:

An altitude of a parallelogram is any line segment drawn from one side so that it is perpendicular to the nonadjacent side or to an extension of that side.

In the â–±RSTV, given that VXÂ¯ âŠ¥ RSÂ¯ and VYÂ¯ âŠ¥ STÂ¯

To determine

b.

To find:

The height of RSTV with to the base RS¯.

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