use proportions to find the missing side length (x) in the two similar figure (First triangle has a side of 13 yards, the bottom of the triangle is x), (The second triangle has a side of 3.25 yards, and the bottom is 4.23 yards, and the other side is x)
To find the missing side length (x) in the two similar triangles, we can set up a proportion using the corresponding sides of the triangles.
First triangle:
Side length: 13 yards
Bottom: x
Second triangle:
Side length: 3.25 yards
Bottom: 4.23 yards
Other side: x
We can set up the proportion as follows:
13/x = 3.25/4.23
To solve for x, we can cross multiply:
3.25 * x = 13 * 4.23
3.25x = 54.99
Now, to isolate x, we can divide both sides of the equation by 3.25:
x = 54.99 / 3.25
x ≈ 16.92
Therefore, the missing side length (x) is approximately 16.92 yards.