Question

state and prove midpoint theorem with the help of basic proportionality theorem​

Answer 1

Answer:

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Step-by-step explanation:

Answer 2

Answer:

statement -  the mid-point of two sides of a triangle is equal to half the length of the third side.

Step-by-step explanation:

In △ ABC line DE ∥ BC     .....(given)

∴

AD = AE                         ......(BY BPT)

  DB    EC​  

BUT AD =BD

∴ AD = AE    = 1

  DB     EC

∴ AE = EC

This means that line DE bisects side AC.