triangle 1 13 yd and x triangle 2 3.25yd and 4.23yd
use proportions to find the missing side length x in the two similar figures
To find the missing side length x in the two similar figures, we can set up a proportion.
In triangle 1, the ratio of the side lengths is:
13 yd / x
In triangle 2, the ratio of the side lengths is:
3.25 yd / 4.23 yd
Since the two triangles are similar, these ratios should be equal.
Setting up the proportion:
13 yd / x = 3.25 yd / 4.23 yd
Cross multiplying:
13 yd * 4.23 yd = x * 3.25 yd
Simplifying:
54.99 yd² = 3.25 x yd²
Dividing both sides by 3.25:
54.99 yd² / 3.25 yd² = x
Simplifying:
x = 16.92 yd
Therefore, the missing side length, x, in the two similar figures is 16.92 yards.