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Maths Department

Pythagoras Theorem

Name : __________
Class : ______

Worksheet- Pythagoras Theorem
Q1) ABC is an isosceles triangle ,AB=AC=12 cm. BC =10 cm. Calculate the perpendicular
distance from A to BC.
A

B

C

Q2) Work out the length of AB when coordinates of A are (4,7) and the coordinates of B are
(16,12).
B

A

C

Q3) A ladder if 8 metres long . It leans against a wall with one end on the ground 6 metre from
the wall. The other end just reaches a windowsill. Calculate the height of the windowsill above
the ground.

8m

6m

Page 1

Maths Department

Pythagoras Theorem

Name : __________
Class : ______

Homework – Pythagoras theorem
Q1) Workout the length of BC. Leave your answer in surd form.
A
6

4

C

B

Q2) The diagram shows a trapezium ABCD . Calculate the length of CD.
A
15
D
7

?
B

6

C

Q3) A rectangle is 13 cm long and 7 cm wide .Work out the length of its diagonal
BC ? A
B
7
C D
D
13

Q4) A Port (P) is 62 km due South of a lighthouse (L). A Marker buoy (B) is due