SOLUTION: Circle C passes through points X, Y, and Z on congruent squares. Find the area of each of the three squares if the radius of the circle is 15 cm. https://media.discordapp.net/

Algebra ->  Length-and-distance -> SOLUTION: Circle C passes through points X, Y, and Z on congruent squares. Find the area of each of the three squares if the radius of the circle is 15 cm. https://media.discordapp.net/      Log On


   

Question 1178967: Circle C passes through points X,
Y, and Z on congruent squares.
Find the area of each of the
three squares if the radius of the
circle is 15 cm.
https://media.discordapp.net/attachments/802751414874537995/834206464276168764/unknown.png
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the side length of each square.

CX=CY=CZ=15 is given.

Let P be the point of intersection of the lines containing CY and XZ.

Then in triangle CPZ CP=x-15, PZ=x/2, and CZ=15. Use the Pythagorean Theorem to solve for x, which is what the problem asks for.