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Home > GC > Chapter 2 > Lesson 2.3.2 > Problem 2-109


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

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

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

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