What is the length of x in the decimal form to the nearest hundredth?
triangle 1: 11.4, 18
triangle 2: x, 23.4
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.