TUTORIAL on Pythagoras’ Theorem
 

Name : _______________________ ( ) Date : ____________

Class : _______________

(Correct all answers to 3 significant figures(sig. fig.), where necessary.)

 

  1. For each right-angled triangle below, write down the side, which is the hypotenuse.
 

 

  1. The lengths of right-angled triangles are given in the table below. Use a calculator to complete this table. The first one has been done for you. Show your workings at the side.
 
 
Right-Angled
Triangle
Side a
(cm)
Side b
(cm)
Side c
(cm)
a2
(cm2)
b2
(cm2)
c2
(cm2)
a2+b2
(cm2)
I
2.1
2.8
3.5
4.41
7.84
12.25
12.25
ii
1.8
8
8.2
        
iii
2.5
6
6.5
        
iv
1.4
4.8
5
        
v
5
12
13
        
 

 

  1. In each of the following diagrams, calculate the values of x and y. All dimensions are in cm.
 

 

  1. Calculate the length of PQ in the diagrams below.
 
  1. With the help of a diagram, use your own words to state the Pythagoras’ Theorem.
   

 
 

(End of worksheet)
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