McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
6. Trapezoids and Kites
Continue to next subchapter

Exercise 25 Page 527

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

sqrt(20)

Practice makes perfect

We want to find the measure of WP.

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. WP^2+ 4^2= 6^2 Let's solve this using inverse operations.
WP^2+4^2=6^2
WP^2+16=36
WP^2=20
WP=sqrt(20)