Question

In triangle ABC, pq is parallel to BC ,AP is 1.5 ,PB is 3cm bc is 6 cm find PQ?

Answer 1

In triangle ABC. PQ is parallel to BC.
therefore by mid point theoram PQ is half of CB = 3 cm. (The line segment joining the mid-point of two sides of a triangle is parallel to third side and half of it.)

Answer 2

Answer:

The length of PQ is 2 cm.

Step-by-step explanation:

Given in triangle ABC, PQ is parallel to BC, AP is 1.5 ,PB is 3 cm, BC is 6 cm

we have to find the length of PQ

AP=1.5 cm

PB=3 cm

BC=6cm

In ΔAPB and ΔABC

∠A=∠A   ( common)

∠APQ=∠ABC    (Corresponding angles, PQ||BC)

By AA similarity rule, ΔAPB ≈ ΔABC

As both triangles are similar therefore their corresponding sides are proportional.

$\frac{AP}{AB}=\frac{PQ}{BC}=\frac{AQ}{AC}$

$\frac{1.5}{1.5+3}=\frac{PQ}{6}$

$PQ=2cm$