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Right triangle ABC has side lenghts AB = 3, BC = 5. Square XYZW is inscribed in triangle ABC with X and Y on line AB, and Z on line BC. What is the side length of the square.

 

 May 13, 2021
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Right triangle ABC has side length AB = 3, BC = 5. Square XYZW is inscribed in triangle ABC with X and Y on line AB, and Z on line BC. What is the side length of the square?

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AB = 3      BC = 5      AC = √34

 

a/(5/3) + a + a/(3/5) = √34

 

a = (15√34) / 49

 

 May 13, 2021

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