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McGraw Hill Glencoe Geometry, 2012

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McGraw Hill Glencoe Geometry, 2012 View details

1. Classifying Triangles

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Exercise 50 Page 242

Congruent sides have equal lengths.

Value of x: x=3
Side Lengths: JK=KL=11, LJ=5

Practice makes perfect

We are told that JK≅KL. Let's indicate this on the diagram.

Congruent sides have equal lengths. With this information, we can set up an equation. JK=KL ⇓ 4x-1=2x+5 Let's solve this equation.

4x-1=2x+5

▼

Solve for x

LHS-2x=RHS-2x

2x-1=5

LHS+1=RHS+1

2x=6

.LHS /2.=.RHS /2.

x=3

We can now substitute x=3 in the given expressions to get the side lengths of the triangle.

Side	Expression of the Length	Substitution	Side Length
JK	4x-1	4( 3)-1	JK=11
KL	2x+5	2( 3)+5	KL=11
LJ	2x-1	2( 3)-1	LJ=5

Subchapter links

Check Your Understanding p.240

Practice and Problem Solving p.241-243

H.O.T. Problems p.243

Standardized Test Practice p.244

Spiral Review p.244

Skills Review p.244