Subjects geometry

Quadrilateral Possibility

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1. Let's first understand the problem: you want to know if it is possible to make a quadrilateral with specific given conditions or sides. 2. Since you didn't provide the specific sides or angles, let's review the general rule for quadrilaterals: any four sides can form a quadrilateral if and only if the sum of the lengths of any three sides is greater than the length of the remaining side. 3. This is the polygon inequality rule applied to quadrilaterals. Mathematically, for sides $a$, $b$, $c$, and $d$, this means: $$a + b + c > d$$ $$a + b + d > c$$ $$a + c + d > b$$ $$b + c + d > a$$ 4. If all these inequalities hold true, then it is possible to construct a quadrilateral with those side lengths. 5. If you provide specific side lengths or other details, I can help verify using these inequalities.