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
To find the lengths of the other two sides of a similar triangle, we can set up a proportion using the corresponding side lengths.
Let's denote the corresponding side lengths of the similar triangle as x and y.
Then, we can set up the following proportion:
4.2/1.4 = 7.2/y
To solve for y, we can cross multiply:
4.2y = 1.4 * 7.2
4.2y = 10.08
y = 10.08/4.2
y ≈ 2.4
Therefore, the lengths of the other two sides of the similar triangle are approximately 1.4 inches and 2.4 inches.