Small triangle: Using the Pythagorean theorem to determine the length of the hypotenuse, we can write the following:
c2 = a2 + b2 = 12 + 12 = 2, or
The length of the hypotenuse is , or approximately 1.414 units.
Medium triangle: The length of the legs is equal to the hypotenuse of the smaller triangle, or . So, to determine the hypotenuse, we can write the following:
c2 = a2 + b2 = 2 + 2 = 4
So the length c is equal to 2 units.
Remember, our unit is the length of one leg of the small triangle. So the perimeters are as follows:
4 , or approximately 5.656 units
Rectangle that is not a square:
2 1 + 2 2 = 6 units
Parallelogram that is not a rectangle:
2 + 2 2, or approximately 6.828 units
2 + 2 + (2 ), or approximately 6.828 units
2 + 1 + 3, or approximately 6.828 units
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