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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Ratios and Proportions

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Exercise 55 Page 549

If a quadrilateral is a trapezoid, then the length of the midsegment is half the sum of the lengths of the bases.

2.5

Practice makes perfect

To find x, we need to use the properties of a trapezoid and its midsegment.

Recall that if a quadrilateral is a trapezoid, then the length of the midsegment is half the sum of the lengths of the bases. ST= 1/2 (CD+AB) We can substitute the given lengths of these segments into this equation. 15=1/2 ( 9x+ 3x) Let's solve this equation to find x.

15=1/2 (9x+3x)

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Solve for x

LHS * 2=RHS* 2

30=9x+3x

Add terms

30=12x

.LHS /12.=.RHS /12.

30/12=x

Calculate quotient

2.5=x

Rearrange equation

x=2.5

Subchapter links

Exercises p.546-549