# Geometry help?

##### 3 Answers

#### Explanation:

This means that the ratio of two sides in one triangle will be same as that of another triangle so

After putting in values, we get

#### Explanation:

We can use the Side-Splitter Theorem to solve this problem. It states:

- If a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally.

Since

So we can set up this proportion:

Now cross multiply and solve:

So the answer is

Answer:

#### Explanation:

Since

Further, we also have that

Therefore

Since similar triangles have the same side length ratio:

Plugging numbers in, we have:

We can now solve this equation by cross multiplication: