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

x = 7.5

Step-by-step explanation:

Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.

Given that the length of sides of the smaller triangle are; 5, 13, 12.

Given also that the length of the dilated triangle are; x, blank, 18.

Comparing the length of the last sides of the two triangles, we have;

(scale factor x 12) + 12

                        = ( x 12) + 12

                        = 6 + 12

                        = 18

Thus the scale factor for the dilation is . So that:

x = ( x 5) + 5

   = 2.5 + 5

   = 7.5

x = 7.5

And also,

blank = ( x 13) + 13

          = 6.5 + 13

blank  = 19.5

Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18

300pi

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb