Difference between revisions of "2022 AIME II Problems/Problem 11"

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==Problem==
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Let <math>ABCD</math> be a convex quadrilateral with <math>AB=2</math>, <math>AD=7</math>, and <math>CD=3</math> such that the bisectors of acute angles <math>\angle{DAB}</math> and <math>\angle{ADC}</math> intersect at the midpoint of <math>\overline{BC}</math>. Find the square of the area of <math>ABCD</math>.
  
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==Solution==
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==See Also==
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{{AIME box|year=2022|n=II|num-b=10|num-a=12}}
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{{MAA Notice}}

Revision as of 00:29, 18 February 2022

Problem

Let $ABCD$ be a convex quadrilateral with $AB=2$, $AD=7$, and $CD=3$ such that the bisectors of acute angles $\angle{DAB}$ and $\angle{ADC}$ intersect at the midpoint of $\overline{BC}$. Find the square of the area of $ABCD$.

Solution

See Also

2022 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Problem 12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

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