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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

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Exercise 8 Page 473

Congruent sides have equal length.

x=5
FG=39
GH=39

Practice makes perfect

Consider the given diagram.

Congruent sides have equal length. With this, we can set up an equation. FG=GH Let's substitute FG=9x-6 and GH=7x+4, and solve this equation.

FG=GH

FG= 9x-6, GH= 7x+4

9x-6= 7x+4

▼

Solve for x

LHS+6=RHS+6

9x=7x+10

LHS-7x=RHS-7x

2x=10

.LHS /2.=.RHS /2.

x=5

We can now substitute x=5 in the given expressions to get the side lengths of the triangle.

Side	Expression of the Length	Substitution	Side Length
FG	9x-6	9( 5)-6	FG=39
GH	7x+4	7( 5)+4	GH=39

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