Advertisement
Online Test Banks
Score higher
See Online Test Banks
eLearning
Learning anything is easy
Browse Online Courses
Mobile Apps
Learning on the go
Explore Mobile Apps
Dummies Store
Shop for books and more
Start Shopping

How to Calculate the Area of a Kite

You calculate the area of a kite by using the lengths of its diagonals. Here’s an example: what’s the area of kite KITE in the following figure?

image0.jpg

For kite area problems (and sometimes other quadrilateral problems), the diagonals are almost always necessary for the solution (because they form right triangles). So if the given diagram doesn’t show the diagonals, you should draw them in yourself.

image1.jpg

Draw in segment KT and segment IE as shown in the above figure.

image2.png

Triangle KIX is another 45°- 45°- 90° triangle (segment IE, the kite’s main diagonal, bisects opposite angles KIT and KET, and half of angle KIT is 45°); therefore, IX, like KX, is 8.

You’ve got another right triangle, KXE, with a side of 8 and a hypotenuse of 17. Hopefully that rings a bell! You’re looking at an 8-15-17 triangle, so without any work, you see that XE is 15. (No bells? No worries. You can get XE with the Pythagorean Theorem instead.)

image3.png

You determined the length of the other diagonal above, so you’ve got what you need for the kite area formula.

image4.png

Plug these numbers into the formula for your final answer:

image5.png
  • Add a Comment
  • Print
  • Share
blog comments powered by Disqus
Advertisement
Advertisement

Inside Dummies.com

Dummies.com Sweepstakes

Win an iPad Mini. Enter to win now!