A triangle has points R(-2,0) ,S(2,8) and T (8,2) as shown in the group. M is the midpoint of RT . What is the length of SM

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asked Oct 12, 2020 149k views

1 Answer

Seveleven · Answer 1 · 2020-10-16T17:00:59+0000

The midpoint is calculated by averaging the coordinates of its endpoints:

$M = \left((-2+8)/(2),(0+2)/(2)\right)=(3,1)$

Now we can use the usual distance formula to get the length of SM:

SM=√((2-3)^2+(8-1)^2)=√(1+49)=√(50)