Geometry: An Interactive Journey to Mastery

10. PAQB is a kite.
    Recall that the diagonals of a kite are perpendicular, and one
    diagonal bisects the other. Label the lengths h, xDQGíx
    as shown in Figure S.19.9.
    We have x^2 + h^2 = 25^2 :HDOVRKDYHͼ௘íx௘ͽ^2 + h^2 = 29^2.
    That is, 36^2 íx + x^2 + h^2 = 29^2. That is, 36^2 íx + 25^2 = 29^2 ,
    \LHOGLQJíx 
    This gives x = 15.
    So, hx   252225 2 2 15 20 and AB = 2h 

Lesson 20

1. D௘ͽ Cr    
   E௘ͽ Cr 7, 5 ; 5.
   F௘ͽ Cr  7, 1 ; 10.
   G௘ͽ Cr  25, 0 ; 1.
   H௘ͽ Cr 0, 0 ; 19.
   I௘ͽ Cr  17, 17 ; 17.
   )RUJ௘ͽDQGK௘ͽZHQHHGWRFRQGXFWVRPHDOJHEUDLFZRUNDVIROORZV
   J௘ͽ
   22
   22

21 8168116



xx yy

xy

 



Cr     

K௘ͽ

22

22

20 100 10 25 0 100

10 5 100

xx yy

xy

 



Cr 10, 5 ; 10.

A

h

h

25 29

25 29

B

P x (^36) íx Q
Figure S.19.9