CK-12 Geometry-Concepts

6.7. Kites http://www.ck12.org

Example C

Find the other two angle measures in the kite below.

The other non-vertex angle is also 94◦. To find the fourth angle, subtract the other three angles from 360◦.

90 ◦+ 94 ◦+ 94 ◦+x= 360 ◦

x= 82 ◦

Watch this video for help with the Examples above.

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/52573

CK-12 Foundation: Chapter6KitesB

Concept Problem Revisited

If the diagonals (pieces of wood) are 36 inches and 54 inches,xis half of 36, or 18 inches. Then, 2xis 36. To
determine how large a piece of canvas to get, find the length of each side of the kite using the Pythagorean Theorem.

182 + 182 =s^2182 + 362 =t^2

324 =s^21620 =t^2

18

√

2 ≈ 25. 5 ≈s 18

√

5 ≈ 40. 25 ≈t

The perimeter of the kite would be 25. 5 + 25. 5 + 40. 25 + 40. 25 = 131 .5 inches or 11 ft, 10.5 in.

Vocabulary

Akiteis a quadrilateral with two distinct sets of adjacent congruent sides. The angles between the congruent sides
are calledvertex angles.The other angles are callednon-vertex angles.