Question

12.
In figure PQ || BC and AP : PB 1: 2. Find
area (APQ)
area (ABC)​

Answer 1

Answer:

1/9

Step-by-step explanation:

Answer 2

Use similarity theorem of area .,.

Step-by-step explanation:

Given, AP/PB = 1/2.

Given, AP = x and PB = 2x.

Then, AB = x + 2x = 3x.

In ΔAPQ and ΔABC,

∠A = ∠A

∠APQ = ∠ABC

∴ ΔAPQ ~ ΔABC

∴ AP/AB = AQ/AC = PQ/BC.

∴ ar(ΔAPQ)/ar(ΔABC) = (AP/AB)²

                                    = (x/3x)²

                                    = (1/3)²

                                    = 1 : 9.