Understand and use Pythagoras’ theorem to solve practical problems in two dimensions and simple applications in three dimensions.  𝑐2 = 𝑎2 + 𝑏2 where 𝑐 is length of the hypotenuse and 𝑎 and 𝑏 are lengths of the two perpendicular sides

A rectangular garden bed is 4.8 m long and 3.6 m wide. A gardener wants to place a diagonal path across the garden bed. Calculate the length of the diagonal path, correct to 1 decimal place.

A telecommunications company is installing cable to connect three relay towers positioned at points \(P\), \(Q\), and \(R\). The table below shows the horizontal ground distance and vertical height difference between pairs of towers. Calculate the minimum total length of cable required to connect all three towers in the sequence \(P \to Q \to R\), correct to the nearest metre.