The figure below shows a bamboo support made to hold bean plants. What is the distance between the points X and Z of the support? Show all the steps you used to find your answer.
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Oh wait.. I think I know how to do it now.. Thank you :)
Okay, I was wrong . I still don't get it :/
Theorem: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.
8 is to 10 as 10 is to XZ
Note that XZ = 8 + AZ
8/10 = 10/(8 + AZ)
4/5 = 10/(8 + AZ)
4( 8 + AZ) = 50
32 + 4 AZ = 50
4 AZ = 50 - 32
4 AZ = 18
AZ = 18/4 = 9/2 = 4.5
XZ = 8 + AZ
XZ = 8 + 4.5 = 12.5 ---> Answer