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

1 answer

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.
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