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

Answer:

6

12

20

24

Question

Use the Side-Splitter Theorem to find x, given that segment PQ is parallel to segment BC. The figure is not drawn to scale.

Answer:

		
6

		
12

		
20

		
24

anonymous · Answer

attachment

anonymous · Answer

@Directrix

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

Since PQ and BC are parallel, therefore $\large\color{slate}{  \triangle }$APQ and $\large\color{slate}{  \triangle }$ABC are proportional.

solomonzelman · Answer

you can solve for a proportion, using  AQ (right side of $\large\color{slate}{  \triangle }$APQ) and  AC (right side of $\large\color{slate}{  \triangle }$QBC).

solomonzelman · Answer

(  $\large\color{slate}{  \triangle }$ means "triangle" )

anonymous · Answer

ok can you show me with the numbers on how to start off to solve it

acxbox22 · Answer

using @SolomonZelman  's info above we can set up a proprtion using the sides of the triangles
8/12=8+x/12+18
now can you solve the proprtion?

anonymous · Answer

the answer would be 12

acxbox22 · Answer

yep good job :)