A right triangle \( ABC \) with side \( AB = x \) and \( BC = 12 \) intersects a square with side \( AB \) at the point \( D \). Assuming \( x \) is variable, find the value of \( x\le 12 \) that maximizes the shaded portion of the triangle.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Your answer seems reasonable.
Find out if you're right!