Puzzler of the Month

From the Monroe Community College Math Department


Current Puzzle

Last Month's Puzzle

Puzzle Archives/ Solutions

Puzzle Solvers


Contact Us

Recent Discussion
Create New Topic

April 2016 Puzzle

Tim is a mathematician with two rather intelligent children, Matthew and Kristen.  One day, he offers them the following challenge.

He tells them that he has a triangle whose side lengths are all integers. He tells only Matthew that the perimeter is 11 and tells only Kristen the area. Each is asked to independently determine the three side lengths of the triangle and each is intelligent enough to do so if they are given sufficient information.

After a few minutes Tim asks each of the children if they have come up with the answer and each indicates that it is impossible to determine with certainty. At that point, Matthew thinks for a moment and with no further information says that he now knows the answer with certainty. At that point, Kristen then thinks for a moment and indicates that she now knows with certainty. 

What were the lengths of the three sides of the triangle?

*You must show sufficient work to support your answer

**April Solutions Due by April 29**


Last update: Sunday, April 3, 2016 at 11:23:02 AM
Copyright 2016 Puzzler of the Month

This is a Manila site