Using Theorem 6.2, prove that the line joining themid-points of any two sides of a triangle is parallelto the third side. (Recall that you have done it in Class IX)

Question

Philoid · Accepted Answer

Let us take the given figure in which PQ is a line segment which joins the mid-points P and Q of line AB and AC respectively

i.e., AP = PB and AQ = QC

We observe that,

And,

Therefore,

Hence, using basic proportionality theorem we get:

PQ parallel to BC