The value of x is 7.5.
<h2>Dilation</h2>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
The smaller triangle was dilated to form the larger triangle.
A smaller triangle has side lengths of 5, 13, 12. A larger triangle has side lengths of x, blank, 18.
<h3>To find </h3>
The value of x.
<h3>How to find the value of x?</h3>
We know the formula.
Side of a large triangle = Dilation x Side of a small triangle
Then we have,
18 = Dilation x 12
Dilation = 1.5
So the blank side will be
Blank side = 1.5 x 13
Blank side = 19.5
And x will be
x = 1.5 × 5
x = 7.5
Thus, the value of x is 7.5.
More about the dilation link is given below.
brainly.com/question/2856466
