Use proportions to find the missing side length x in the two similar figures, small triangle with two sides 3.25 yards the other side 4.23 yd the larger triangle has one side 13 yd identify the x

Answer 1

To find the missing side length x, we can set up a proportion between the corresponding sides of the two similar triangles.

Let x be the missing side length in the larger triangle.

Using the given information:
Small triangle:
Side 1 = 3.25 yards
Side 2 = 4.23 yards

Large triangle:
Side 1 = 13 yards

We set up the proportion:
3.25 / 4.23 = x / 13

Now, we can cross multiply to solve for x:
3.25 * 13 = 4.23 * x
42.25 = 4.23x

Divide both sides by 4.23 to solve for x:
x = 42.25 / 4.23
x ≈ 9.99 yards

Therefore, the missing side length x in the larger triangle is approximately 9.99 yards.