What's the largest possible rectangle inside of the 3-4-5 right triangle?

This math tutorial shows how to find the largest possible rectangle that can fit inside a 3-4-5 right triangle. It explains the geometric reasoning and uses algebra to maximize the area of the rectangle. Great for students studying geometry, optimization problems, or preparing for calculus. ----------------------------- I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉   / blackpenredpen  . Every bit of support means the world to me and motivates me to keep bringing you the best math lessons! Thank you! ----------------------------- #math #algebra #mathbasics