Question

Use the side-splitter theorem to solve for x in the triangle below.

Answer 1

`x = 7`

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:

`(x)/(21) = (8)/(24)`

Solve for x

`(x)/(21) = (1)/(3)`

Multiply both sides by 21

`(x)/(21)*21 = (1)/(3)*21`

`x = (21)/(3)`

`x = 7`