By applying the triangle midpoint theorem to the triangle, the value of x is equal to: D. 12.
The properties of similar triangles.
In Geometry, two (2) triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.
Corresponding parts of two congruent figures.
In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.
What is triangle midpoint theorem?
Triangle midpoint theorem states that the line segment which connects the midpoints of two (2) sides of a triangle must be parallel to the third side, and it's congruent to one-half of the third side.
By applying the triangle midpoint theorem to the triangle, we have:
8x = 2(2x + 24)
8x = 4x + 48
8x - 4x = 48
4x = 48
x = 48/4
x = 12.
Read more on triangle midpoint theorem here: brainly.com/question/12234706
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