| First, start by drawing (or redrawing) the
diagram. Then start to list the information that you
know. The circles have a diameter of 30", and therefore a radius of 15". Try to find a way to use a formula you know- If you can find the height of the large triangle, you can just add the missing radius (15") to the top, and the missing radius (15") of the bottom and you will have the height. You know that x2 + y2 = c2. (Pythagorean Theorem) The base of the red triangle (a right traingle) is 2 x 15"= 30". The hypotenuse of the red triangle is the diameter of one circle, plus two radii, or 30" + 15" + 15" = 60" You now have 2 of the variables for the Pythagorean theorem. Solve for y. 302 + y2 = 602 900 + y2=3600 y = approximately 52 52" + 15" (the top) + 15" (the bottom) = 82" |
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