1954 AHSME Problems/Problem 45
In a rhombus, , line segments are drawn within the rhombus, parallel to diagonal , and terminated in the sides of the rhombus. A graph is drawn showing the length of a segment as a function of its distance from vertex . The graph is:
Solution
Note that the length of the segment increases linearly with distance from , starting at zero, until it passes side (this can be shown with similar triangles). From there, it decreases linearly until it reaches zero at point (this can also be shown with similar triangles). The only shape that matches this description is that of choice , so that is our answer and we are done.
See Also
1954 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 44 |
Followed by Problem 46 | |
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