Here is question 15:
HOW LONG IS THE LINE?
To find the answer, we have to use the Pythagorean relationship. From looking at the graph we can tell that the legs, (green) have lengths of 2cm and 4cm. We have to find the length of the hypotenuse, (red). Our formula is: a squared + b squared = c squared.
a squared + b squared = c squared
2cm squared + 4cm squared = c squared
(2cm x 2cm) + (4cm x4cm) = c squared
4cm + 16cm = c squared
20cm= c squared
By doing this we have figured out the area of the hypothetical square attached to the hypotenuse. Now we have to find the square root of that number to find the length of the hypotenuse.
the square root of 20= 4.4 (approx.)
The length of the line is approximately 4.4cm.
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