Mathematics
Standard
Name
Formative Assessment
Criteria B & C
Class
Grade 9
1. Draw a horizontal line segment of length 4 cm. At right angles, draw a
vertical line segment of length 3 cm. Complete a right-angled triangle by
drawing in the hypotenuse Use this sketch as your guide.
If the shorter sides have lengths a cm and b cm, then a=3 cm and b=4 cm. Let
the hypotenuse have length c cm.
2. Measure the hypotenuse using a ruler and find c.
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3. Complete the table:
You will need to repeat the procedure above for three more right-angled
triangles. The sides of length a and b are specified in the table.
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4. State any conclusions you draw from information in this table.
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5. Construct one more right-angled triangle with lengths a and b of your
choosing. Does your conclusion hold for this triangle? Is your answer an
integer?
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6. Are there any limitations to consider when carrying out this investigation?
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