1986 AHSME Problems/Problem 16
Problem
In and side is extended, as shown in the figure, to a point so that is similar to . The length of is
Solution
Since we are given that , we have .
Solving for in gives us .
We also have . Substituting in for our expression yields
Which we can further simplify to
See also
1986 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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