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

A5
B5.5
C6
D5 square root of 2

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 o class=

Verified Answer :

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

Therefore, the required length is 5.

Answer:

The correct option is A. 5

Step-by-step 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