can someone help me with this other question

look its says find the missing length indicated Leave your answer in simplest radical form. I am not suppose to use Pythagoreom theorem because it is different triangles i am supposed to use ratios to solve it but it is confusing because there are so many triangles in one
 
Subhotosh Khan said:
What do you need to find?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

There are many right-angled and similar triangles here. Start to look for application of Pythagoras!

View attachment 19429
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look its says find the missing length indicated Leave your answer in simplest radical form. I am not suppose to use Pythagoreom theorem because it is different triangles i am supposed to use ratios to solve it but it is confusing because there are so many triangles in one
 
pka said:
The red dotted line segment has length \(y\) and divides the hypotenuse into \(16:9\).
Then it id a mean proportional: \(\dfrac{16}{y}=\dfrac{y}{9}\) which implies that \(y=12\).
So surely you can now find the length \(x~?\)
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I think your right and my answer sheet is wrong its saying 15?
 
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