Question

I’m struggling and I need helo with these last problems

Answer 1

Geometric Relationships

Figure d in the diagram shows two similar triangles. They are formed when two parallel lines cut two of the sides.

In similar triangles, the ratio between corresponding sides must be identical.

The two corresponding sides are the base and the slanted side.

The length of the base of the longer triangle is 5 + 8 = 13

The length of the base of the shorter triangle is 8.

The length of the slanted side of the longer triangle is 16

The length of the slanted side of the smaller triangle is x

The ratios must be equal, thus:

`(13)/(8)=(16)/(x)`

Solving for x:

`\begin{gathered} x=(8\cdot16)/(13) \\ x=(128)/(13) \end{gathered}`