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The mid points of AB and AC of a △ABC are X and Y, respectively. If BC+XY=18 units, then the value of BC-XY is:
Question

The mid points of AB and AC of a △ABC are X and Y, respectively. If BC+XY=18 units, then the value of BC-XY is:

A.

12 cm

B.

6 cm

C.

8 cm

D.

4 cm

Correct option is B

Given:

The midpoints of AB and AC are X and Y, respectively.

BC + XY = 18 units.

Formula Used:

The line segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Thus, XY =12BC.\frac{ 1}{2} BC.​​

Solution:

Finally, BC - XY = 12 - 6 = 6 units.

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