Question

Triangle abc is isosceles. what is the length of the line segment connecting the midpoints of the two sides of equal length?

a. 5
b. 5.5
c. 6
d. 5 square root of 2

Answer 1

The correct option is A. 5

Explanation:

The equal sides in the given figure are AB and AC

So, to find the length of the line segment connecting the midpoints of the two sides of equal length :

Find the midpoints of AB and AC

Now, By using the midpoint formula :

Midpoint of AB = (0.5, 3)

Midpoint of AC = (5.5, 3)

So, The required distance will be : Distance between (0.5, 3) and (5.5, 3)

⇒ The required distance will be = 5 units

Hence, The correct option is A. 5

Answer 2

The required relength is half of the length of AC
AC = sqrt(8 - (-2))^2 = 8 + 2 = 10

Therefore, the required length is 5.