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Pythagoras Worksheet
Find the lengths of the unknown sides in the following right-angled triangles
1.

2.

3.

4.

5.

Simon Jones, www.satuition.com

6.

1

7.

Find the length of the diagonal of the rectangle

8.

Find the unknown sides

19cm

9. A 5 metre ladder is positioned 3.2 metres from a
building, as shown in the diagram. Will the ladder
reach a window which is 4 metres from the ground?

10.

A cone is shown. Find the diameter of the cone.
Hint: the diameter is twice the length of the radius

Simon Jones, www.satuition.com

2

11. Find the perpendicular height of the equilateral triangle shown

12. AB is the diameter of the circle shown.
Find the radius of the circle

13. HARDER PROBLEM
The diagram shows a cube of side 5cm. Find the
length of AB.
Hint:- All sides of the cube are 5cm. You will
need to use Pythagoras twice: find one side
and then use it to find AB

Simon Jones, www.satuition.com

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