year 8 maths

174 Chapter 3 Measurement and Pythagoras’ theorem
Exercise 3K
UNDERSTANDING AND FLUENCY
1–4, 5(½), 7(½) 5(½), 6, 7(½)
5(½), 6, 7(½)
1 Calculate these squares and sums of squares.
a 3 2
b 5 2
c 12 2
d 1.5 2
e 2 2 + 4 2
f 3 2 + 7 2
g 6 2 + 11 2
h 12 2 + 15 2
2 Decide if these equations are true or false.
a 2 2 + 3 2 = 4 2
b 6 2 + 8 2 = 10 2
c 7 2 + 24 2 = 25 2
d 5 2 − 3 2 = 4 2
e 6 2 − 3 2 = 2 2
f 10 2 − 5 2 = 5 2
3 Write the missing words in this sentence.
The ____________ is the longest side of a right-angled ____________.
4 Which letter marks the length of the hypotenuse in these triangles?
a
b
a
c
b
y
x
w
c
s
t
u
Example 23
5 Decide if the following are Pythagorean triads.
a 3, 4, 6 b 4, 2, 5 c 3, 4, 5
d 9, 12, 15 e 5, 12, 13 f 2, 5, 6
g 9, 40, 41 h 10, 12, 20 i 4, 9, 12
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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