Question

the point p and q are mid point of side AB and side AC respectively in triangle ABC if BC=2.8cm then PQ=​

Answer 1

Answer:

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Hence

QC

AQ

=

PB

AP

3

2

=

PB

2.4

PB=3.6cm

AB=AP+PB=2.4+3.6=6cm

As PQ∥BC

∠AQP=∠ACB

∠APQ=∠ABC

So by AAA △AQP∼△ACB

Hence

AC

AQ

=

CB

QP

5

2

=

6

QP

QP=2.4cm

So AB=6cm and QP=2.4cm

Step-by-step explanation:

follow