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)

1 answer

If two triangles are similar, then their corresponding sides are proportional.

Let's find the scale factor of similarity between the two triangles:
scale factor = (length of larger side)/(length of smaller side)
scale factor = 7.2/1.4
scale factor = 5.14

Now, we can find the lengths of the other two sides of the similar triangle by multiplying each length from the original triangle by the scale factor:

length of larger side = 5.7 * 5.14 ≈ 29.36 inches
length of smallest side = 1.4 inches

Therefore, the lengths of the other two sides of the similar triangle are 1.4 inches and 29.36 inches.