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

triangle 1: 11.4, 18
triangle 2: x, 23.4

1 answer

To find the length of x in the decimal form to the nearest hundredth, we need to determine the value of x in triangle 2.

Since we have the opposite sides (11.4 and x) of two similar triangles, we can set up a proportion:

11.4/18 = x/23.4

To find x, we can cross-multiply and solve for x:

11.4 * 23.4 = 18 * x
266.76 = 18x

Dividing both sides by 18:

x = 266.76 / 18
x ≈ 14.82

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