The circle as shown in the picture below, with center P and radius 2, is tangent to three sides of the rectangle ABCD. Given that the total area of the rectangle is 32, find the distance between the point P and the diagonal AC.

a) b) c)
d) e)

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If the length of the legs of a right triangle are and , the length of the hypotenuse is:

a) b) c) d)
e)

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What is the vertical height (altitude) of the right cone whose radius of the circular base is equal to centimeters and the slant height is 5 centimeters ?
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