The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5,

Question

Svetllana [295]

3 years ago

8

The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5,

13, 12. A larger triangle has side lengths of x, blank, 18. 6. 9 7. 5 10 11.

Mathematics

1 answer:

ioda · Answer 1 · 2022-10-24T20:31:48+03:00

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.

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