Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Solution to Principle of Insufficient Reason Introductory Problem 1

Revision as of 23:10, 19 January 2024 by Ddk001 (talk | contribs) (→‎Olympaid problem)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem 1

$\text{Principle of Insufficient Reason} \implies \text{max} ([\text{hexagon}])=[\text{Regular Hexagon}]=\boxed{\frac{3}{2} \sqrt{3}}$

Olympaid problem

Principle of Insufficient Reason $\implies$ the max of $e$ is achieved when $a=b=c=d$ so \[4a+e=8\] \[4a^2+e^2=16\] \[\implies e=\frac{16}{5}\]

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Solution_to_Principle_of_Insufficient_Reason_Introductory_Problem_1&oldid=211452"