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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 6 Page 526

If a quadrilateral is a kite, then its diagonals are perpendicular.

5

Practice makes perfect

We want to find the measure of AB.

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. Therefore we can use the Pythagorean Theorem to write the following equation. 3^2+ 4^2= AB^2 Let's solve this using inverse operations.

3^2+4^2=AB^2

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Solve for AB

Calculate power

9+16=AB^2

Add terms

25=AB^2

Rearrange equation

AB^2=25

sqrt(LHS)=sqrt(RHS)

AB=±5

AB > 0

AB=5

Subchapter links

Exercises p.526-530