Pythagoras' theorem
This task is about using pythagoras' theorem to solve problems with right-angled triangles.
Question
1
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a) A square piece of paper has sides of 22 cm.
[Not drawn to scale]
a) A square piece of paper has sides of 22 cm.
[Not drawn to scale]
How long would the diagonal line between the two corners be, shown by '
b
'?
cm
Question
1
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b) In a yacht race it is 8 km from the start line to Buoy 1, and 7 km from Buoy 1 to Buoy 2.
[Not drawn to scale]
b) In a yacht race it is 8 km from the start line to Buoy 1, and 7 km from Buoy 1 to Buoy 2.
[Not drawn to scale]
How far would it be from Buoy 2 to the finish line, as shown by '
a
'?
Question
1
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c) The diagonal line on the flag of Papua New Guinea is 90 cm. The flag is 54 cm in height.
[Not drawn to scale]
c) The diagonal line on the flag of Papua New Guinea is 90 cm. The flag is 54 cm in height.
[Not drawn to scale]
How wide would the flag be, as shown by '
c
'?
cm
Published on
https://newzealandcurriculum.tahurangi.education.govt.nz