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.
To find the lengths of the other two sides of the similar triangle, we need to find the scale factor. The scale factor is the ratio of the corresponding sides in the two triangles.
Let's find the scale factor by dividing the length of the smallest side of the original triangle (1.4 inches) by the length of the smallest side of the similar triangle:
Scale factor = 1.4 inches / 4.2 inches = 1/3
Now, we can find the lengths of the other two sides of the similar triangle by multiplying each side of the original triangle by the scale factor:
Length of the second side = 5.7 inches * (1/3) = 1.9 inches
Length of the third side = 7.2 inches * (1/3) = 2.4 inches
Therefore, the lengths of the other two sides of the similar triangle are 1.9 inches and 2.4 inches.
The smaller side length is 1.9 inches and the larger side length is 2.4 inches.