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Diagonals, Squares Circles and Endpoints

6. If a square's diagonal has endpoints (3,4) and (7,8) , find the endpoints of the other diagonal. (please illlustrate)

What is the length of the diagonal?
(Please give formula)

What is the perimeter of the square?

Write the equation of the circle that has the endpoint (3,4) as its center and goes throught the two closest endpoints. (Also, plug in r squared to get a number ans.)

Write the equation of the circle that has the endpoint (3,4) as its center and goes through the farthest endpoint (the diagonal will be the radius)
(plug in the r squared to get a number ans.)

Write the equation of the line going through the left most endpoints. (using x = 3)

Write the equation of the line going through the top most endpoints.(using y = 8)

Solution Preview

If we have a square with length a then acourding to the relation x^2+y^2=Z^2 in triangle with a 90 degree angle, we have the lenght of the diagonal for a square with length a is ...

Solution Summary

Diagonals, Squares Circles and Endpoints are investigated.

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