1968 AHSME Problems/Problem 18
Problem
Side of triangle has length 8 inches. Line is drawn parallel to so that is on segment , and is on segment . Line extended bisects angle . If has length inches, then the length of , in inches, is:
Solution
Draw a line passing through and parallel to . Let . By alternate-interior-angles or whatever, , so is an isosceles triangle, and it follows that . . Let . We have
Thus, we choose answer .
See also
1968 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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