Difference between revisions of "1960 AHSME Problems/Problem 37"
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Let <math>AB=b</math>, <math>DE=h</math>, and <math>WX = YZ = x</math>. | Let <math>AB=b</math>, <math>DE=h</math>, and <math>WX = YZ = x</math>. | ||
<asy> | <asy> |
Revision as of 19:17, 15 May 2018
Problem
The base of a triangle is of length , and the altitude is of length . A rectangle of height is inscribed in the triangle with the base of the rectangle in the base of the triangle. The area of the rectangle is:
Solution
Let , , and . Since is perpendicular to , . That means . The sides of the rectangle are parallel, so . That means by AA Similarity, . Letting be the length of the base of the rectangle, that means Thus, the area of the rectangle is , which is answer choice .
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 36 |
Followed by Problem 38 | |
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All AHSME Problems and Solutions |