SOLUTION: If the altitude drawn to the hypotenuse of a right triangle EFG partitions it into two segments of lengths of 8 and 10, then find the length of the longer leg of triangle EFG in si

Question 1158306: If the altitude drawn to the hypotenuse of a right triangle EFG partitions it into two segments of lengths of 8 and 10, then find the length of the longer leg of triangle EFG in simplest radical form.
Found 2 solutions by Edwin McCravy, greenestamps:
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

We want to find y:
Edwin

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

By similar triangles, the length of the altitude to the hypotenuse of a right triangle is equal to the geometric mean of the lengths of the two segments of the hypotenuse:

or

Then the length of the longer leg of triangle EFG is

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