## Tick Tock Triangle

#### Problem

The hour hand on a wall clock is 3 inches long and the minute hand is 4 inches long. At three o"clock, the hands form a 3-4-5 right angle triangle.

At a random time during the day it is noted that the triangle formed by the hands has integer length sides. What is the probability that the triangle is isosceles?

Problem ID: 167 (Apr 2004) Difficulty: 3 Star