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 out the lengths of the other two sides, we can create a proportion:
smaller side of the first triangle / larger side of the first triangle = smaller side of the similar triangle / larger side of the similar triangle
Given:
Smaller side of the first triangle = 1.4 inches
Larger side of the first triangle = 7.2 inches
Smaller side of the similar triangle = ?
Larger side of the similar triangle = ?
Using the proportion:
1.4 / 7.2 = ? / ?
To find the value of ?, we solve for the unknown in the proportion:
? = (1.4 * ?) / 7.2
Multiplying both sides by 7.2:
? * 7.2 = 1.4 * ?
Dividing both sides by ?:
7.2 = 1.4
Therefore, the lengths of the other two sides are:
The smaller side length is 1.4 inches and the larger side length is 7.2 inches.