Answer:
[tex] x = 7 [/tex]
Step-by-step explanation:
According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.
Therefore, based on this theorem, we would have the following:
[tex] \frac{x}{21} = \frac{8}{24} [/tex]
Solve for x
[tex] \frac{x}{21} = \frac{1}{3} [/tex]
Multiply both sides by 21
[tex] \frac{x}{21}*21 = \frac{1}{3}*21 [/tex]
[tex] x = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
