8. If P (2, 2), Q (-4,- 4) and R (5. - 8) are the vertices of a triangle
PQR, then what is the length of
median through R?
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Median divide the side in two equal parts.
so, mid point of QR (assume A) by using mid point theorem is,
x=(x1+x2)/2 and y = (y1+y2)/2
accordingly we will get A(1/2,-6) as mid point of QR
Now, by using distant formula,
AR^2 = (5-1/2)^2+(-8-(-6))^2
AR^2 = 81/4 + 4
AR^2 = 97/4
and hence, AR, which is the length of median through R= sqrt[97]/2
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