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)

Question

The smaller side length is
inches and the larger side length is
inches.

Answer 1

To find the lengths of the other two sides of the similar triangle, we can use the concept of scaling.

Let's denote the lengths of the corresponding sides of the similar triangle as x and y. The ratio of corresponding side lengths in similar triangles is equal.

The ratio of the smaller side lengths is given as:
1.4 / 4.2 = x / 5.7

Cross-multiplying, we get:
1.4 * 5.7 = 4.2 * x
7.98 = 4.2x
x = 7.98 / 4.2
x ≈ 1.9

Similarly, the ratio of the smaller side lengths is given as:
1.4 / 4.2 = y / 7.2

Cross-multiplying, we get:
1.4 * 7.2 = 4.2 * y
10.08 = 4.2y
y = 10.08 / 4.2
y ≈ 2.4

Therefore, the lengths of the other two sides of the similar triangle are approximately 1.9 inches and 2.4 inches.

The smaller side length is 1.9 inches, and the larger side length is 2.4 inches.