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New Zealand
Level 6 - NCEA Level 1

PYTHAG - Applications using Pythagoras

Interactive practice questions

Iain’s car has run out of petrol. He walks $12$12 km west and then $9$9 km south looking for a petrol station.

If he is now $h$h km directly from his starting point, find the value of $h$h.

A right triangle representing the path taken by, starting with a 12 km trek westward and then a 9 km move southward. The hypotenuse of the triangle symbolizes the direct route from the starting point to the current location, measuring h km.

Easy
1min

Consider the following figure.

Easy
3min

Consider the following trapezium.

Easy
3min

Consider the following diagram.

Easy
3min
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Outcomes

GM6-6

Use trigonometric ratios and Pythagoras’ theorem in two and three dimensions

91031

Apply geometric reasoning in solving problems

91032

Apply right-angled triangles in solving measurement problems

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