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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

6. Solving Right Triangles

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Exercise 33 Page 506

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

x=8

Practice makes perfect

The variable term is already on the left-hand side of the equation, so we will start by multiplying both sides of the equation by x, so that the variable no longer appears in the denominator.

12/x=3/2

LHS * x=RHS* x

12=3/2x

LHS * 2/3=RHS* 2/3

2/3 * 12=2/3 * 3/2x

MultFracByInverse

a/b* b/a=1

2/3* 12=x

MoveRightFacToNum

a/c* b = a* b/c

24/3=x

Simplify quotient

8=x

Rearrange equation

x=8

The solution to the equation is x=8.

Subchapter links

Communicate Your Answer p.501

Monitoring Progress p.502-504