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.

Question

Steven Frank

Mathematics

18 October, 15:58

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.

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Answers (2)

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Atticus Walker · Answer 1

Answer: 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

Jax Abbott · Answer 2

x=6√5

Step-by-step explanation:

First you break down the triangles into 2 triangles. then 18/x=x/10 cross multiply and the x-squared = 180 x=36-squared and 5-squared and the answer is x=6√5