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.

Guest May 13, 2021

#1**+2 **

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**

civonamzuk May 13, 2021