body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Get Ready for the Chapter

Continue to next subchapter

Exercise 7 Page 473

Congruent sides have equal length.

x=1
WX=9
XY=9
WY=9

Practice makes perfect

Consider the given diagram.

Congruent sides have equal length. We can use any two of the given expressions to set up and solve an equation for x. Let's use WX=9x and WY=6x+3.

WX=WY

WX= 9x, WY= 6x+3

9x= 6x+3

▼

Solve for x

LHS-6x=RHS-6x

3x=3

.LHS /3.=.RHS /3.

x=1

We can now substitute x=1 in the given expressions to get the side lengths of the triangle.

Side	Expression of the Length	Side Length
WX	9(1)	WX=9
XY	4(1)+5	XY=9
WY	6(1)+3	WY=9

Subchapter links

QuickCheck p.473