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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 36 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=11.1125

Practice makes perfect

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

5.6/12.7=4.9/x

LHS * x=RHS* x

5.6/12.7x=4.9

LHS * 12.7/5.6=RHS* 12.7/5.6

12.7/5.6* 5.6/12.7x=12.7/5.6* 4.9

MultFracByInverse

a/b* b/a=1

x=12.7/5.6* 4.9

MoveRightFacToNum

a/c* b = a* b/c

x=62.23/5.6

a/b=a÷ b

x=62.23÷ 5.6

Use a calculator

x=11.1125

The solution to the equation is x=11.1125.

Subchapter links

Communicate Your Answer p.501

Monitoring Progress p.502-504