Question

Use the Side-Splitter Theorem to find x, given that PQ||BC . The figure is not drawn to scale.

6

12

20

24

Answer 1

Answer: x=12

Explanation:

1. Accoding to the Side-Splitter Theorem, if a line interesect two sides of the triangle and it is parallel to the third side, then the other two sides are divided by the line proportionally.

2. Then, you can form the following proportion:

`(PA)/(BP)=(QA)/(CQ)`

3. Substitute values and solve for x:

`(8)/(x)=(12)/(18)\\18*8=12x\\x=12`