The length of the median drawn to the hypotenuse of a right triangle is represented by the expression 3x - 7, while the length of the hypotenuse is represented by 5x - 4. Find the length of the median.

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- May 14th 2009, 04:11 PMMelFinding the length of the median.
The length of the median drawn to the hypotenuse of a right triangle is represented by the expression 3x - 7, while the length of the hypotenuse is represented by 5x - 4. Find the length of the median.

- May 15th 2009, 12:47 AMred_dog
The length of the median is half of the length of hypotenuse.

Then,

$\displaystyle 3x-7=\frac{5x-4}{2}$

Now find x.