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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

6. Similarity Transformations

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Exercise 36 Page 599

The diagonals of a kite are always perpendicular. To find the missing measure, use the Pythagorean Theorem.

10

Practice makes perfect

We want to find the measure of QR.

If a quadrilateral is a kite, then its diagonals are perpendicular. Therefore, we know that the given segments are the legs of a right triangle and we can use the Pythagorean Theorem to write the following equation. 8^2+ 6^2= QR^2 Let's solve this using inverse operations.

8^2+6^2=QR^2

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Solve for QR

Calculate power

64+36=QR^2

Add terms

100=QR^2

Rearrange equation

QR^2=100

sqrt(LHS)=sqrt(RHS)

QR=± 10

QR > 0

QR=10

Subchapter links

Exercises p.596-599