(it shows 2 longer triangles, facing to the right, downwards a little, anyway there is a bigger one and a smaller one, it shows 2 values on the smaller one, on the right side of the smaller triangle, it says "18 in" and on the bottom of it, it says "11.4 in", now the bigger one, on the right side of the bigger triangle, it says "23.4 in" and on the bottom of it, it says "x".)

Question

(it shows 2 longer triangles, facing to the right, downwards a little, anyway there is a bigger one and a smaller one, it shows 2 values on the smaller one, on the right side of the smaller triangle, it says "18 in" and on the bottom of it, it says "11.4 in", now the bigger one, on the right side of the bigger triangle, it says "23.4 in" and on the bottom of it, it says "x".)

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

___ Inches

Answer 1

To find the length of x, we need to set up a proportion using the two triangles.

Let x represent the length of the base of the larger triangle. The ratio of the sides of the small triangle to the sides of the large triangle is equal.

Therefore, we can set up the following proportion:

18/11.4 = 23.4/x

Now we can cross multiply:

18x = 11.4 * 23.4
18x = 267.96

To solve for x, divide both sides by 18:

x = 14.88 inches

Therefore, the length of x in decimal form to the nearest hundredth is 14.88 inches.