CPM Homework Help : CCG Problem 2-104

Draw a right triangle with legs of length $6$ and $8$ units, respectively, onto graph paper. Construct a square on the hypotenuse and use the square’s area to find the length of the hypotenuse.

Step 1:

Draw the triangle and a square where one side is the hypotenuse.

Step 2:

Count the number of unit squares contained within the square, giving each partial square a value of one half.

Step 3:

Since the area of the square ( $100$ ) is the length of the hypotenuse squared, the square root of the square's area is the length of the hypotenuse.

$\sqrt {100}=10$