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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 42 Page 528

Use the Trapezoid Midsegment Theorem.

5

Practice makes perfect

We want to find the value of x.

Recall the Trapezoid Midsegment Theorem.

Trapezoid Midsegment Theorem
The midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

Using the theorem, we can write the following equation. PM= 1/2 ( TS+ QR) Let's substitute the given lengths of the segments into the equation. 20=1/2 ( 2x+ 6x) By performing inverse operations, we can solve this equation for x.

20=1/2(2x+6x)

▼

Solve for x

Add terms

20=1/2(8x)

MoveRightFacToNum

a/c* b = a* b/c

20=1* 8x/2

1* a=a

20=8x/2

Calculate quotient

20=4x

.LHS /4.=.RHS /4.

5=x

Rearrange equation

x=5

We found the value of x=5.

Subchapter links

Exercises p.526-530