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Problem Solving (PS) | Re: On a map Town G is 10 centimeters due east of Town H and 8 centimeters

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Bunuel wrote:

On a map Town G is 10 centimeters due east of Town H and 8 centimeters due south of Town J. Which of the following is closest to the straight-line distance, in centimeters, between Town H and Town J on the map?

A. 6
B. 13
C. 18
D. 20
E. 24


Using the information in the stem, we see that the distance between Town H and Town J is the hypotenuse of a right triangle with legs of 8 and 10. Thus:

8^2 + 10^2 = x^2

164 = x^2

√164 = √x^2

√164 = x

Since 164 is close to 169, √164 ≈ √169
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