pow:start

# Problem of the Week

Problem 5 (due Monday, April 13)

Positive integers $a<b<c$ are lengths of sides of a right triangle whose inradius is equal to $\gcd(a+1,b)^2$. Find $a,b,c$.

## Overview

Every other Monday (starting 02/03/20), we will post a problem to encourage students (both undergraduate and graduate) to enjoy mathematics outside of the classroom and engage our mathematical community in the problem solving activity. If you have a solution and want to be a part of it, e-mail your solution to Marcin Mazur (mazur@math.binghamton.edu) by the due date. We will post solutions (from us) as well as novel solutions from participants and record the names of those who've got the most number of solutions throughout each semester.

When you submit your solutions, please provide a detailed reasoning rather than just an answer. Also, please include some short info about yourself for our records.

## Previous Problems

• Problem4 Solved by only one participant: Ashton Keith, a freshman majoring in math.
• Problem3 Solved completely only by Ashton Keith, a freshman majoring in math. A solution with some details missing was also submitted by Yuqiao Huang.
• Problem2 Solved by only one participant: Yuqiao Huang - a freshman and a math-major.
• Problem1 Solved by only one participant: Yuqiao Huang - a freshman and a math-major.
pow/start.txt · Last modified: 2020/04/01 11:42 by mazur