Pythagoras’ Theorem: Worksheet
Here is Pythagoras’ Theorem:
‘The square of the hypotenuse (side h) equals the sum
of the squares of the other two sides (a and b).’
h 2 = a 2 + b 2
We have a short cut for writing
squared numbers: a 2
Hypotenuse, side h
Hypotenuse is the name we give to the longest
side of the triangle that is opposite the right angle.
A TV antenna is 16 metres high. A supporting wire is connected to the top from 6 metres
away from the base. This is shown in the diagram. What is the length of wire helping to hold
up the TV antenna? It is marked with ‘W’.
Work out the length of the bracket for this shelf. It is the length marked ‘b’.
What is the height of the upright in the roof of this building? It is the side marked ‘H’.
What is the distance from A to B on this diagram? It is the side marked ‘d’.
What is the length of the truss on this building? It is the side marked ‘t’.
1. 17.1 m 2. 340 mm 3. 3.6 m 4. 7.4 m 5. 8.3 m