1960 AHSME Problems/Problem 37
Contents
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 .
Video Solution
https://youtu.be/ZdM2ou5Gsuw?t=172
~MathProblemSolvingSkills.com
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 36 |
Followed by Problem 38 | |
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