If the altitude drawn to the hypotenuse of a right triangle EFG partitions it into two segments of lengths 8 and 10, then find the length of the longer leg of EFG in simplest radical form.

x = 6 √5

Step-by-step explanation: the longer leg is next to the longest segment. You need to add 8 + 10 to get the entire bottom. 18. You then need to cross multiply this with 10. Since you don't know your other numbers, you use x. 10/x = x/18 . you get x squared = 180. You get the square root of both, making x = √36 and √5. The square root for 36 is 6, and you leave √5 as itself. So your answer is 6 √5