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Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 56 Page 594

We know that AB ≅ GH.

Practice makes perfect

From the two figures, we see that AB ≅ GH. This means we can equate the expressions of these segments. AB ≅ GH: 5y-8=3ySince the equation only contains y as a variable, it can be solved.

5y-8=3y

SubEqn

LHS-3y=RHS-3y

2y-8=0

AddEqn

LHS+8=RHS+8

2y=8

DivEqn

.LHS /2.=.RHS /2.

y=4

When we know that y= 4 we can substitute this into the expression for GH: GH: 3( 4)=12