Question 200344
A wagon wheel is placed against a wall. One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheel?
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Think Pythagorean theorem.
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Draw a diagram -- the wheel is the hypotenuse while the wall and the floor forms the two sides of a right triangle.
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Let d = diameter of wheel
then
d^2 = 5^2 + 10^2
d^2 = 25 + 100
d^2 = 125
d = {{{sqrt(125)}}}
d = {{{sqrt(5*5*5)}}}
d = {{{5sqrt(5)}}}
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Radius is half the diameter:
radius = {{{(5/2)sqrt(5)}}}  = 5.59 inches