Chapter 4.CT, Problem 17CT

### 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 Kite RSTV, R S = 2 x − 4 , S T = x − 1 , T V = y − 3     and  R V = y . Find the perimeter of RSTV.

To determine

To Find:

The perimeter of kite.

Explanation

Given:

In Kite RSTV, RS=2xâˆ’4,ST=xâˆ’1,TV=yâˆ’3Â andÂ RV=y. RSTV.

Calculation:

From given figure it is clear that RSâˆ¥RV and STâˆ¥TV.

Consider RSâˆ¥RV then,

2xâˆ’4=y2xâˆ’y=4â‹¯(1)

Now consider STâˆ¥TV then,

xâˆ’1=yâˆ’3xâˆ’y=1âˆ’3xâˆ’y=âˆ’2â‹¯(2)

By subtracting equation (1) from (2) we have,

â€‰2xâˆ’y=4xâˆ’y=âˆ’2_â€‰x+0y=6

Thus, x=6.

Substitute for â€‰x in (2) we have,

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