Learn the Pythagorean Theorem
Investigate (i)
To calculate the side of a square from its area, we take the square root.
Investigate (ii)
A right angled triangle with sides 7 and 3 is shown in the applet.
A square is drawn on each side of the triangle.
Move the blue points in the applet around to make different triangles with different sized squares.
At any time, the area of yellow added to green should equal the area of red.
The area of the green + the area of the yellow = the area of the red.
We can use this relationship to calculate missing numbers.
Question 1
What is the side length of the green square?
What is the side length of the yellow square?
What is the Area of the red square?
What is the side length of the red square?
Question 2
What is the area of the red square?
What are the side lengths of the squares? List the lengths of the side of the yellow, the green and the red squares.
Question 3
What is the area of the green square?
What are the side lengths of the yellow, the green, and the red squares?
Question 4
What is the area of the yellow square?
How long are each of the three sides of the triangle?
Question 5
Finally, transform the applet 'Investigate (ii)' so that it shows the same picture with the same size squares as in question 4.