To find the length of the dilated triangle, we can use the formula for dilation:
(length of dilated triangle) = (dilation factor) * (length of original triangle)
The dilation factor in this case is x/11.4, since the original triangle has a side length of 11.4 in and the dilated triangle has a side length of x in.
Using the formula:
23.4 = (x/11.4) * 18
Solving for x:
23.4 = 1.614 * x
x = 23.4 / 1.614
x ≈ 14.50
Therefore, the length of x in decimal form to the nearest hundredth is approximately 14.50.
Triangle with a side of 11.4 in and 18 in has a dilated triangle of x and 23.4 in what is the length of x in decimal form to the nearest hundredth
1 answer