Use the image to answer the question.

Question

An illustration shows two triangles, one big and one small. In the small triangle, one side measures 11.4 inches and another side measures 18 inches. In the big triangle, the side corresponding to 11.4 inches in the small triangle measures x and the side corresponding to 18 inches measures 23.4 inches.

What is the length of x in decimal form to the nearest hundredth?

Answer 1

To find the length of x in the big triangle, we can set up a proportion using the corresponding sides of the small and big triangles.

11.4 / x = 18 / 23.4

Cross-multiplying gives:

11.4 * 23.4 = 18 * x

266.76 = 18 * x

Dividing both sides by 18 gives:

x = 266.76 / 18

x ≈ 14.82

Therefore, the length of x in decimal form to the nearest hundredth is 14.82 inches.