Question

The figure below shows a bamboo structure.



What is the length of NB? Show all the steps you used to find your answer.

Answer 1

Don't need a long answer just need to find NB

Answer 2

there are a few points of interest on this; geometric mean and similar triangles

Answer 3

if we tip over the triangle on the right into the triangle on the left, we get this

Answer 4

\[\frac5n=\frac{n}{NB}\]
\[{NB}=\frac{n^2}5\]
and n^2 can be found using the pythag thrm:

5^2 + n^2 = 9^2

n^2 = 9^2-5^2