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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

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