Video Set Introduction

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Before watching the videos, think about and answer these questions to the best of your ability.

Suppose you have a 10-foot long piece of wood and a long rope. You want to use these materials to make a right triangle with the legs made of wood and the hypotenuse made of rope. Where should you cut the wood to maximize the area of the triangle?

One piece of wood is 1 foot, the other is 9 feet One piece of wood is 2 foot, the other is 8 feet One piece of wood is 2.5 foot, the other is 7.5 feet One piece of wood is 3 foot, the other is 7 feet One piece of wood is 4 foot, the other is 6 feet One piece of wood is 5 foot, the other is 5 feet