SOLUTION: ABCD is a square with AB = 12. Point P is in an interior point whose distances to A, B, and to the side CD are equal. Find that distance.

Algebra ->  Rectangles -> SOLUTION: ABCD is a square with AB = 12. Point P is in an interior point whose distances to A, B, and to the side CD are equal. Find that distance.       Log On


   

Question 192054: ABCD is a square with AB = 12. Point P is in an interior point whose distances to A, B, and to the side CD are equal. Find that distance.

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
The triangle APB is an isosceles triangle with 45,45,90 degree angles.
The 2 equal sides are:
x^2+x^2=12^2
2x^2=144
x^2=144/2
x^2=72
x=sqrt72
x=8.4853 ans.