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#38664

geometry

pythagorean theorem

hard

90 sec

A right triangle has legs with lengths of $x$ and $3 x$ . If the length of the hypotenuse is $102$ , and $x$ can be written in the form $k m$ , where $k$ and $m$ are integers and $m$ is not divisible by a perfect square greater than 1, what is the value of $m$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.