SOLUTION: So I have a rectangle RSTU, and RU is 5 while UT is 12 and there are 2 lines intersecting in the middle of the rectangle in an x form. with P as the middle. I need to figure out wh

Question 755861: So I have a rectangle RSTU, and RU is 5 while UT is 12 and there are 2 lines intersecting in the middle of the rectangle in an x form. with P as the middle. I need to figure out what RP is, and I know then answer is either 13, 8.5 or 6.5, but I don't know how to solve this.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Lines RT and SU are the diagonals of the rectangle.
Each diagonal divides the rectangle into two congruent right triangles.
The lengths of the legs of those right triangles are 5 and 12.
According to the Pythagorean theorem, the lengths of the hypotenuses of each triangle (the diagonals) are

So
The diagonals of a rectangle (or any other parallelogram) bisect each other>
So --> -->
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