1978 AHSME Problems/Problem 7: Difference between revisions
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<math>\textbf{(A) }7.5\qquad | <math>\textbf{(A) }7.5\qquad | ||
\textbf{(B) }6\sqrt{2}\qquad | \textbf{(B) }6\sqrt{2}\qquad | ||
\textbf{(C) }5\sqrt{2 | \textbf{(C) }5\sqrt{2}\qquad | ||
\textbf{(D) }\frac{9}{2}\sqrt{3}\qquad | \textbf{(D) }\frac{9}{2}\sqrt{3}\qquad | ||
\textbf{(E) }4\sqrt{3} </math> | \textbf{(E) }4\sqrt{3} </math> | ||
Latest revision as of 00:06, 22 February 2024
Problem 7
Opposite sides of a regular hexagon are
inches apart. The length of each side, in inches, is
Solution
Draw a perpendicular through the midpoint of the line of length
such that it passes through a vertex. We now have created
triangles. Using the ratios, we get that the hypotenuse is
See Also
| 1978 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing