Right angled triangle II

Right angled triangle II

Pencil and paper
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Using this Resource
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Marking Student Responses
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This task is about Pythagoras' theorem and right-angled triangles.
Is a triangle with sides measuring 10 cm, 20 cm, and 25 cm a right-angled triangle?
 
i)
Yes   /   No (Circle one)
 
ii)
Use calculations to justify your answer.  
 
 

 

 

 

 

 

 

 

 

   
Task administration: 
This task can be completed with pencil and paper.
Level:
6
Curriculum info: 
Maths, Geometry and Measurement, Shape
Keywords: 
pythagoras theorem, right angled triangles
Description of task: 
Students need to apply their knowledge of Pythagoras' theorem to prove that a triangle of given measurements is right-angled.
Answers/responses: 

 

Y11 (10/2001)

a)
b)

No
Uses Pythagoras' theorem correctly,
i.e., 102 + 202 = 500 252.
or    √(102 + 202) = 22.4 25.
NOTE: Alternative responses can be accepted, e.g., the cosine rule.

difficult

 

difficult

NOTE: This resource has been trialled with students having access to a formula sheet at the start of the test with Pythagoras' theorem and trigonometry functions on it.