Question

In ∆,=, or the mid points of prove that= ​

Answer 1

Answer:

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Answer 2

ᴀɴꜱᴡᴇʀ

Let us assume ΔABC where D is the mid point of AB and E is the mid point of AC.

To prove: DE∣∣BC

Proof:

In ΔABC,

D is the mid point of AB

⇒ AD=DB

⇒ AD/DB =1 ……………..(1)

E is the mid point of AC

⇒AE=EC

⇒ AE/EC =1 ……………(2)

From (1) & (2)

AD/DD = AE/EC

If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

∴DE∣∣BC.

Hence proved.