1963 AHSME Problems/Problem 38
Problem
Point is taken on the extension of side of parallelogram . intersects diagonal at and side at . If and , then equals:
Solution
Let and . Since , by AA Similarity, . That means . Substituting in values results in Thus, , so .
In addition, , so by AA Similarity, . That means
Cross multiply to get
Since and ,
Thus, , which is answer choice .
See Also
1963 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 37 |
Followed by Problem 39 | |
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