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)
To find the lengths of the other two sides of the similar triangle, we can set up a proportion between the corresponding sides of the two triangles.
Let's denote the lengths of the sides of the similar triangle as x, y, and z.
According to the proportion, we have:
4.2/1.4 = 5.7/x = 7.2/y
Simplifying, we get:
3 = 5.7/x
3x = 5.7
x = 5.7/3
x = 1.9
3 = 7.2/y
3y = 7.2
y = 7.2/3
y = 2.4
So, the lengths of the other two sides of the similar triangle are 1.9 inches and 2.4 inches.