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

Algebra ->  Length-and-distance -> 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      Log On


   

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) About Me  (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.