SOLUTION: Square ABCD has side length 12cm. What is the length of congruent segments BX, CX, and EX? https://media.discordapp.net/attachments/769181283913695264/833885133168967691/unknown

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Question 1178913: Square ABCD has side length 12cm.
What is the length of congruent
segments BX, CX, and EX?
https://media.discordapp.net/attachments/769181283913695264/833885133168967691/unknown.png

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Extend segment EX to meet BC at Y.

By symmetry, Y bisects BC, so CY=6.

Let x be the length of congruent segments BX, CX, and EX; then XY=12-x.

Use the Pythagorean Theorem on triangle CYX to get an equation that is easily solved for x, which is what the problem asks you to find.

I leave the work to you.


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