To prove:The extended proportions that are needed to prove /_RST ~ /_XYZ by the SSS similarity theorem. Given /_RST, /_XYZ are two triangles.

ankarskogC

ankarskogC

Answered question

2021-02-26

To prove:The extended proportions that are needed to prove RSTXYZ by the SSS similarity theorem.
Given RST,XYZ are two triangles.

Answer & Explanation

Theodore Schwartz

Theodore Schwartz

Skilled2021-02-27Added 99 answers

Calculation: 
According to the SSS Theorem for Similarity, there must be an equal ratio between the sides of each triangle.
In triangle RST and XYZ, 
Consider the following side ratios:
RSXY=STYZ=RTXZ 
Hence, theratios of RSXY,STYZ and RTXZ must be equal to prove RSTXYZ by SSS similarity theorem.

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