   Chapter 4.CT, Problem 17CT 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 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=2x4,ST=x1,TV=y3 and RV=y. RSTV.

Calculation:

From given figure it is clear that RSRV and STTV.

Consider RSRV then,

2x4=y2xy=4(1)

Now consider STTV then,

x1=y3xy=13xy=2(2)

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

2xy=4xy=2_x+0y=6

Thus, x=6.

Substitute for x in (2) we have,

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