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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 21 Page 527

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

17

Practice makes perfect

We will find the length of the base UT.

Using the theorem, we can write the following equation. VS= 1/2 ( UT+ RQ) We are given that VS= 11 and RQ= 5. Let's find the length of UT.

VS=1/2(UT+RQ)

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Solve for UT

RQ= 5, VS= 11

11=1/2(UT+ 5)

LHS * 2=RHS* 2

22=UT+5

LHS-5=RHS-5

17=UT

Rearrange equation

UT=17

We found that base UT=17.

Subchapter links

Exercises p.526-530