Question on Calculating Mid Point and Distance between the mid points in a Geometrical Figure

Topic : Mid Point and Distance Between Mid Points

Let M and N be the mid points of TR and TV

We use mid point formula to find coordinates of M and N ,

From figure x1 = 1, y1 = -4 and x2 = 9 , y2 = 8

Substitute in mid point formula,

M = (1+9/2, -4+8/2) = (5,2)

Similarly coordinates of N = (9+13/2 , 8+2/2) = (11,5)

Now we use distance formula to find MN

M = (5,2) and N =(11, 5)

x1 = 5 and y1 = 2

x2 = 11 and y2 = 5

substituting the values in distance formula we get

MN = √(11 - 5)² + (5 - 2)²

= √4² + 3²

= √45

= 3√5