1. Use Pythagoras' Theorem to find the length of the side marked by a letter in each of the following triangles (round answers where appropriate):
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a
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b
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c
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d
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2. Solve the following problems by first forming an equation using Pythagoras' Theorem.
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a
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A rectangular carpet measures 8 metres by 7 metres. How long is it from one corner to the opposite corner. i.e. the diagonal? |  |
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b
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A laptop screen measures 30 cm by 20 cm. How far is it from one corner to the opposite corner? | |
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c
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A soccer field measures 100 metres by 75 metres. How far is it from one corner to the centre spot? |
3. Name the type of shape (from: triangle, trapezium, parallelogram and rhombus) and then calculate the area of the following:
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a.
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b.
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c.
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d.
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e.
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f.
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4. Find the volumes of the following prisms and cylinders:
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a.
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b.
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c. Cylinder, use π = 3.1
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d.
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