A triangle has sides of lengths 4.2, 5.7, and 7.2 inches. The smallest side of a similar triangle is 1.4 inches. What are the lengths of the other two sides? Write the smaller side length first and the larger side length second.(1 point)

The smaller side length is
inches and the larger side length is
inches. ?????

1 answer

To find the lengths of the other two sides of the similar triangle, we can set up a proportion using the ratio of corresponding side lengths.

Let x be the length of the smaller side in the original triangle (4.2 inches) and y be the length of the larger side in the original triangle (7.2 inches).

Using the proportion:

1.4 inches / x inches = 1.4 inches / 4.2 inches

Cross multiplying, we get:

1.4x = 1.4 * 4.2

1.4x = 5.88

Divide both sides by 1.4:

x = 5.88 / 1.4

x = 4.2 inches

Therefore, the lengths of the other two sides of the similar triangle are 1.4 inches and 4.2 inches.