Math Gold Medalist

Lor

2023 AMC 10A 

Problem 4

A quadrilateral has all integer side lengths, a perimeter of $26$, and one side of length $4$. What is the greatest possible length of one side of this quadrilateral?

$\textbf{(A) }9\qquad\textbf{(B) }10\qquad\textbf{(C) }11\qquad\textbf{(D) }12\qquad\textbf{(E) }13$

Triangle Inequality(In Polygon)

DC<DA+AB+BC

g<26-g

.

   Solution