Hello there. To solve this question, we'll need to remember some properties on triangle congruences.
As you can see, the two triangles have the same shape. This is a good indicator if whether or not they are congruent to each other.
As we don't have any other information, as the third leg size or an angle between those, we assume they are in fact congruent and apply the formula:
z/u = x/w = y/v
In this case, we have the dimensions 24 and x for the larger triangle and 12 and 14, respectively, for the smaller triangle.
Using the formula, we get:
24/12 = x/14
Simplify the equation on the left hand side by a factor of 12
2 = x/14
Multiply both sides of the equation by a factor of 14
x = 28 mi.
Given two congruent triangles ABC and DEF, such that: