A triangle has sides of lengths 4.2, 5.7, and 7.2 inches. The smallest side if a similar triangle is 1.4 inches. What are the lengths of the other two sides? Write the smaller side lengths first and the larger side lengths second.
To find the lengths of the other two sides of the similar triangle, we need to find the scale factor between the two triangles.
The scale factor, denoted by k, is equal to the ratio of corresponding sides of the two triangles. In this case, we can use the smallest side of the original triangle (4.2 inches) and the corresponding side of the new triangle (1.4 inches):
k = 1.4 / 4.2 = 1/3.
Now, we can find the lengths of the other two sides of the similar triangle by multiplying the lengths of the corresponding sides of the original triangle by the scale factor.
The lengths of the other two sides of the similar triangle are:
1.4 inches * k = 1.4 inches * (1/3) = 0.4667 inches.
Therefore, the lengths of the other two sides of the similar triangle are 0.4667 inches and 0.4667 inches.