1972 AHSME Problems/Problem 30
Problem 30
A rectangular piece of paper 6 inches wide is folded as in the diagram so that one corner touches the opposite side. The length in inches of the crease L in terms of angle is
Solution
Let the rectangle have crease with on , and let be on such that is a reflection of over . Notice that triangles and are similar, so by setting with , giving we have that . Noticing that gives . . Noticing that gives the answer to be .
Thanks to xiej for correcting my mistake!
See Also
1972 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 31 | |
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