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3.04 Applications of Pythagoras' theorem

Interactive practice questions

Three towns Melba, Florey and Giralang are positioned as shown in the diagram.

Which two towns are furthest apart, assuming a direct route is taken?

Florey and Melba

A

Giralang and Florey

B

Melba and Giralang

C
Easy
< 1min

The screen on a handheld device has dimensions $9$9 cm by $5$5 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

Glen’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

Fred and Carl are playing football together. At one point in the game, they are near the same corner of the field. Fred is on the goal line, $11$11 m away from the corner, while Carl 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
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VCMMG318

Investigate Pythagoras’ Theorem and its application to solving simple problems involving right-angled triangles.

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