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

2024 AMC 10 Problems/Problem 15

Revision as of 09:39, 31 October 2024 by Expertm (talk | contribs) (Created page with "==Problem== Let <math>a</math>, <math>b</math>, and <math>c</math> be positive integers such that <math>a^2 + b^2 = c^2</math>. What is the least possible value of <math>a +...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $a$, $b$, and $c$ be positive integers such that $a^2 + b^2 = c^2$. What is the least possible value of $a + b + c$ such that $a$, $b$, and $c$ form a non-degenerate triangle?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 9\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 12\qquad\textbf{(E)}\ 25$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2024_AMC_10_Problems/Problem_15&oldid=231072"