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 scaling factor between the two triangles.
The scaling factor can be found by dividing the length of the smaller side of the similar triangle by the corresponding length in the original triangle:
Scaling factor = 1.4 inches / 4.2 inches
= 0.3333...
Now, we can find the lengths of the other two sides of the similar triangle by multiplying the scaling factor by their corresponding lengths in the original triangle:
Length of the smaller side in the similar triangle = 1.4 inches
Length of the larger side in the similar triangle = 5.7 inches * 0.3333...
= 1.8999...
Therefore, the lengths of the other two sides are approximately 1.4 inches and 1.8999 inches.
it's wrong
Apologies for the incorrect response. Let's calculate the correct lengths.
The scaling factor, in this case, is determined by dividing the length of the smaller side of the similar triangle by the corresponding length in the original triangle:
Scaling factor = 1.4 inches / 4.2 inches
Scaling factor = 0.3333...
Now, we can find the lengths of the other two sides of the similar triangle by multiplying the scaling factor by their corresponding lengths in the original triangle:
Length of the smaller side in the similar triangle = 1.4 inches
Length of the larger side in the similar triangle = 5.7 inches * 0.3333...
Length of the larger side in the similar triangle ≈ 5.7 inches * 0.333 ≈ 1.8911 inches
Therefore, the lengths of the other two sides are approximately 1.4 inches and 1.8911 inches.
The smaller side length is
1.4 inches and the larger side length is 1.8911 inches.
inches and the larger side length is
I apologize for any confusion caused. The correct lengths of the sides of the similar triangle are:
The smaller side length is 1.4 inches and the larger side length is 1.8999 inches.