Nina plans to utilize the storage space and make shelves. She wants to fix a wood beam, represented by segment RX in the figure, to support a shelf.

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

Question

Nina plans to utilize the storage space and make shelves. She wants to fix a wood beam, represented by segment RX in the figure, to support a shelf.
  
 What is the length of the beam? Show all the steps you used to find your answer.

anonymous · Answer

attachment

mertsj · Answer

Same thing as before.  The altitude is the geometric between the segments of the hypotenuse.

mertsj · Answer

$$\frac{3.6}{RX}=\frac{RX}{6.4}$$

anonymous · Answer

RX=23.04?

mertsj · Answer

4.8

anonymous · Answer

oh can you show me how you got that?

mertsj · Answer

Cross multiply

mertsj · Answer

(3.6)(6.4)=(RX)^2
23.04=RX^2
RX=sqrt23.04=4.8