Working with Pythagoras

Working with Pythagoras

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Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about using Pythagoras' theorem to decide whether triangles are right-angled.

Question 1Change answer

working-with-pythagoras.png
Pythagoras' Theorem:

a2 + b2 = c2
 
Select Yes if the triangles listed below are right-angled triangles.
Select No if they are not right-angled triangles.
Length of the triangle's sides Is it right-angled?
a) 2          3          4
YesNo 
b)
5          7          12
YesNo
c)
8          15          17
YesNo
d)
9          18          27
YesNo
e) 12          16          20
YesNo
f) 30          40          50
YesNo
Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Shape
Keywords: 
pythagoras theorem, right angled triangles
Description of task: 
Students use Pythagoras' theorem to decide whether triangles are right-angled based on the lengths of their sides.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Geometric thinking, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

Y11 (05/2000)

a)

b)

c)

d)

e)

f)

no

no

yes

no

yes

yes

all correct – difficult

5 correct – moderate

4 correct – moderate