Let's do this question in the figure below, Picou is parallel to B.C..
All right, area of Triangle AP You is one for the area of triangle ABC find Beebee if it's given that
ABC will do 10 centimetre.
Pause the video, give it a try, and then let's do it together.
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I hope you've given it a try.
Let's do it together.
It's mentioned that BQ is parallel to B.C., right.
So let's take a beat as the transposon.
And you have two parallel lines.
Therefore, angle AP.
Q is equal to Angle ABC because they are corresponding angles.
Similarly, if you take a seat as the transversal, you will find that angle.
AQAP is equal to angle AC B because again they are corresponding angles.
Now you have two sets of angles that are equal.
Therefore asperity a rule triangle ap Q is similar to triangle ABC.
Now if you take the ratio of two similar triangles, that's equal to to the square of the ratio of the
sites for areas of epic.
You divide it by area of ABC is equal to one by four that is given and that is equal to AP Square divided
by AP Square, AP and IB are corresponding sites right from this part over here.
Let's take square root on both sides.
I can get AP by AB is equal to one by two right now.
It's given that AB is equal to ten centimeter.
So let me substitute that over here.
That gives me AP.
Divided by ten is equal to one by two.
Or you can find that AP is equal to five centimeter now or here we are asked to find b B right.
We know AP is equal to five centimeter and it's given that a B is equal to 10 centimeter.
Therefore B, B is A, B minus ipe.
That's ten minus five, which gives you five centimetre as your answer.