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

Question 1074962: In triangle RST, RS = 13, ST = 14, and RT = 15.
Let M be the midpoint of ST. Find RM.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
In triangle RST, RS = 13, ST = 14, and RT = 15.
Let M be the midpoint of ST. Find RM.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

     In a triangle with the sides a, b and c the median drawn to the side c has the length of 


      = . 



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(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".

RELATED QUESTIONS
M and N are the midpoints of sides RS and RT of △RST, respectively. Given: RM = RN (answered by MathLover1)

In RST, RS = 15, RT = 12, and ST = 17. Which angle of RST has the smallest... (answered by Alan3354)

S is the midpoint of rt, rs = -2� and st = -3�-2, find rs, st and... (answered by Boreal,stanbon)

Triangle RST is isosceles with base RS. If RT = 5x-4, ST = 3x+4, and RS = 2x+9, find the... (answered by mananth)

In RST, RS = 11, RT = 9, and ST = 6. Which angle of RST has the smallest... (answered by jim_thompson5910)

In RST, RS = 7, RT = 10, and ST = 8. Which angle of RST has the smallest... (answered by Alan3354)

PQRS is a rectangle in which PQ=10 and PS=6. T is the point on PQ such RST is an... (answered by ankor@dixie-net.com)

Given: Right triangle RST with hypotenuse ST and altitude RU Prove: (RS)^2 + (RT)^2 =... (answered by Edwin McCravy,ikleyn)

Please help me solve this problem: In triangle RST,RS=10,ST=11,and RT=13. In triangle... (answered by ikleyn)