Question

In the figure AP , BQ and CR are three parallel lines , Ac = 5 cm , PR = 10 cm , AB = 2 cm. What is AB: BC ? Find the length of QR

Answer 1

AB : BC = 2 : 3 and QR = 6 cm.

Step-by-step explanation:

See the attached diagram.

Now, AB = 2 cm and AC = 5 cm

So, BC = (AC - AB) = 5 - 2 = 3 cm.

Therefore, AB : BC = 2 : 3 (Answer)

Now, since AP ║ BQ ║ CR, then AB : BC = PQ : QR = 2 : 3

Now, PR = 10 cm {Given}

So, $QR = PR \times \frac{3}{2 + 3} = 10 \times \frac{3}{5} = 6$ cm.(Answer)

Answer 2

Step-by-step explanation:

In the figure AP , BQ and CR are three parallel lines , Ac = 5 cm , PR = 10 cm , AB = 2 cm. What is AB: BC ? Find the length of QR