Upload
trantram
View
235
Download
1
Embed Size (px)
Citation preview
Chapter 3 Pythagoras’ theorem and trigonometry134
hypotenusetheorem of Pythagoras
c a b
a bc
exact values surds
ac
b
bcaArea a2
Area c2
Area b2
Key
idea
s
Example 1 Finding the length of the hypotenuse
ba
5
12
c b
7
9.5
c
SOLUTION EXPLANATION
a c a b
c
c c
b c a b
c
a b
ISBN 978-0-521-17865-5 Photocopying is restricted under law and this material must not be transferred to another party.
© Greenwood et al. 2011 Cambridge University Press
Measurement and Geometry 135
Example 2 Finding the length of the hypotenuse using exact values
SOLUTION EXPLANATION
c a b
c
c
2
5
c
1 ca 15
178
b 48
1450
c 2 2
2 z x y
a b
a c
b y
zx
c j
l
k
3 g ha b c d
e f g h
Exercise 3A
Unde
rsta
ndin
gFl
uenc
y
4 a
8
6c b 12
5c
c
15
8c
d 12
9 c
e 24
7c
f
409
c
g 48
14
c
h
18
24
c
i
15
20
c
Example 1a
ISBN 978-0-521-17865-5 Photocopying is restricted under law and this material must not be transferred to another party.
© Greenwood et al. 2011 Cambridge University Press