Task 6 - Pythagoras' Theorem

Here we will use Pythagoras' Theorem and all of the skills we have learned so far to find the side length of the longest side of a right-angled triangle.
Diagram 1
Question 1
The area of the red square is [math]3^2=9[/math]. What is the area of the blue square?
Question 2
What is the area of the black square?
Diagram 2
Question 3
What is the red area?
Question 4
What is the blue area?
Question 3
What is the black area?
Question 5
What is the black side length (the longest side of the triangle)?
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Information: Task 6 - Pythagoras' Theorem