Four congruent right-angled triangles are arranged to form two squares as shown: a. What is the area
Question:
Four congruent right-angled triangles are arranged to form two squares as shown:
a. What is the area of the smaller square as a fraction of the larger square?
b. Assuming the size of the larger square stays the same, what could the dimensions of each of the four congruent triangles be so that the area of the smaller square is half that of the larger square?
c. Is it possible for the area of the smaller square to be less than half that of the larger square? Give a convincing reason for your answer.
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a Lets call the side length of the larger square x Each of the rightangled triangles has a base of x ...View the full answer
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Related Book For 
Cambridge Checkpoint Lower Secondary Mathematics Student's Book 7
ISBN: 9781398301948
3rd Edition
Authors: Frankie Pimentel, Ric Pimentel, Terry Wall
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