Question

Find the location of G, the midpoint of FH.

Answer 1

The coordinate of G is (3,6.5).

What is Section Formula?

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.

The Coordinate of F is (1, 7)

The Coordinate of H is (5,6)

Since G is the midpoint. So, it divides the line FH in 1:1 part

Let coordinates of G be (x, y)

Now using Section Formula,

$x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}$

x= 3 and y = 6.5

Hence the coordinate of G is (3,6.5)

Learn more about section formula here:

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