SOLUTION: Please help me solve this problem: In triangle RST,RS=10,ST=11,and RT=13. In triangle FGH,FG=5,GH=5.5,and FH=6.5 Determine weather triangle RST~ TRIANGLE FGH

Algebra ->  Triangles -> SOLUTION: Please help me solve this problem: In triangle RST,RS=10,ST=11,and RT=13. In triangle FGH,FG=5,GH=5.5,and FH=6.5 Determine weather triangle RST~ TRIANGLE FGH       Log On


   

Question 1034766: Please help me solve this problem:
In triangle RST,RS=10,ST=11,and RT=13.
In triangle FGH,FG=5,GH=5.5,and FH=6.5
Determine weather triangle RST~ TRIANGLE FGH
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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Please help me solve this problem:
In triangle RST,RS=10,ST=11,and RT=13.
In triangle FGH,FG=5,GH=5.5,and FH=6.5
Determine weather triangle RST~ TRIANGLE FGH
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

The triangles RST and FGH are similar in accordance with the SSS-test of similarity of triangles.

SSS-test of similarity of triangles states that


    If three sides of one triangle are respectively proportional to the tree sides of the other triangle 
    then the triangles are similar.


See the lessons 

    - Similar triangles 
 
    - Similarity tests for triangles   and

    - Proofs of Similarity tests for triangles

in this site.