The mid points of AB and AC of a ΔABC are X and Y, respectively. If BC + XY = 18 cm , then the value of BC - XY is:
6 cm
Given:
BC + XY = 18 cm
Calculation :
⇒ BC + XY = 18 cm
We know that, XY = 1/2 BC
⇒ 1/2BC + BC = 18
⇒ 3BC/2 = 18
⇒ BC = 12
Now, XY = 6
Therefore, BC - XY = 12 - 6 = 6
∴ The correct answer is 6 cm.
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