Pythagoras' theorem

This task is about using pythagoras' theorem to solve problems with right-angled triangles.

Question 1Change answer

a)  A square piece of paper has sides of 22 cm.
 
square shape with unknown diagonal length     [Not drawn to scale]
     How long would the diagonal line between the two corners be, shown by 'b'?  cm 

Question 1Change answer

b)  In a yacht race it is 8 km from the start line to Buoy 1, and 7 km from Buoy 1 to Buoy 2.
 
 yacht race   [Not drawn to scale] 
     How far would it be from Buoy 2 to the finish line, as shown by 'a'?

Question 1Change answer

c)  The diagonal line on the flag of Papua New Guinea is 90 cm. The flag is 54 cm in height.
 
papua and new guinea flag    [Not drawn to scale]
     How wide would the flag be, as shown by 'c'?  cm