1996 AJHSME Problems/Problem 17
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Problem 16
Figure is a square. Point is the origin, and point has coordinates (2,2). What are the coordinates for so that the area of triangle equals the area of square ?
Solution
The area of is .
The area of is .
If we set the areas equal, the area of $\traingle PQT$ (Error compiling LaTeX. Unknown error_msg) is . Also, note that . Plugging those in, we get:
If , and , then , and must be units to the left of the origin. This would be , giving answer .
See Also
1996 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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