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13.04 Applications of Pythagoras' theorem

Interactive practice questions

The screen on a handheld device has dimensions $9$9 cm by $6$6 cm, and a diagonal of length $x$x cm.

What is the value of $x$x?

Round your answer to two decimal places.

Easy
1min

Sean’s car has run out of petrol. He walks $8$8 km west and then $6$6 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.

Easy
1min

Yuri and Dave are playing football together. At one point in the game, they are near the same corner of the field. Yuri is on the goal line, $13$13 m away from the corner, while Dave is on the side line, $17$17 m away from the corner.

If the straight line distance between the two players is $d$d m, find the value of $d$d, rounding your answer to two decimal places.

Easy
1min

A soda can has a height of $13$13 cm and a radius of $4$4 cm.

Let $L$L be the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the can).

Find the value of $L$L rounding down to the nearest centimetre.

Medium
2min
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Outcomes

MA4-16MG

applies Pythagoras' theorem to calculate side lengths in right-angled triangles, and solves related problems

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