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Side Splitter TheoremA theorem to find sides of similar triangles
The side splitter theorem is a natural extension of similarity ratio.
The side splitter theorem states that if a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally.
Corollary to Side Splitter Related: What are Similar Triangles | Theorems proving Similar Triangles| Right Similar Triangles | Side Splitter Theorem | Angle Bisector Theorem |Area & Similarity
Illustrated Example Two
The Side Splitter theorem states that 
Illustrated Example Two
By the side splitter theorem, we know that
the AB / BD = the AC / CE Practice Problems
Problem 1)
Find the length of VX by using the side splitter theorem.
To solve this problem, set up the following proportion and solve: VW/WY = VX/XZ Corollary to Side Splitter Related: What are Similar Triangles | Theorems proving Similar Triangles| Right Similar Triangles | Side Splitter Theorem | Angle Bisector Theorem |Area & Similarity Corrollary to Side Splitter Theorem
A corollary of the this theorem is that when three prallel lines intersect two transversals, then the segments intercepted on the transversal are proportional.
Example 1 of the Corrolary
Example 2 of the Corrollary
Practice Problem 1)Use the corollary to find the value of x in the problem pictured below.
Practice Problem 2)
Use the corollary to find the value of x in the problem pictured below.
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Graphing Calc
