SOLUTION: In triangle RST, RS = 13, ST = 14, and RT = 15. Let M be the midpoint of ST. Find RM.

Algebra ->  Pythagorean-theorem -> SOLUTION: In triangle RST, RS = 13, ST = 14, and RT = 15. Let M be the midpoint of ST. Find RM.      Log On


   



Question 1074962: In triangle RST, RS = 13, ST = 14, and RT = 15.
Let M be the midpoint of ST. Find RM.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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In triangle RST, RS = 13, ST = 14, and RT = 15.
Let M be the midpoint of ST. Find RM.
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     In a triangle with the sides a, b and c the median drawn to the side c has the length of 


     m%5Bc%5D = sqrt%282a%5E2%2B2b%5E2-c%5E2%29%2F2. 



This formula is proved in the lesson

    - The length of a median of a triangle

in this site. 


Using this theorem, substitute your values into the formula to get the answer


|RM| = sqrt%282%2A15%5E2+%2B+2%2A13%5E2+-+14%5E2%29%2F2 = sqrt(592)}}} = 12.166 (approximately).

Solved.


Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part if this textbook under the topic "Properties of triangles".