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)
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.