Question

In the figure in triangle abc p parallel to q
. PQ : BC = 1:3.
Then find the ratio of AP and PB

Answer 1

Answer:

choose the statement that is NOT true with reference

to the impact of the order from Berlin.

(a) M. Hamel had put his finest dress,

bThe school and all other things were quiet like a Sunday

morning.

to the village children came and sat silently on the back

benches

(d) All students and M. Hamel were upset.

Mark me as Brilliant please

Answer 2

$\Huge{\color{blue}{\underline{\underline{Given:-}}}}$

In triangle ABC, PQ parallel to BC.

The ratio of PQ : BC = 1:3

AS,

The corresponding sides of two similar triangles are proportional to each other.

$\Huge{\color{blue}{\underline{\underline{TO \:Find:-}}}}$

The ratio of AP and PB

$\Huge{\color{blue}{\underline{\underline{Answer:-}}}}$

In triangle APQ and triangle ABC,

$\angle A=\angle A$----(Common)

$\sf \angle{APQ}=\angle{ABC}$--(corresponding Angles)

So, by AA similarity,

$\triangle APQ\sim\triangle ABC$

$\sf So, \dfrac{AP}{AB}=\dfrac{PQ}{BC}$

Put the value into the formula

$\dfrac{AP}{AP+PB}=\dfrac{1}{3}$

$\sf 3AP=AP+PB\\ \sf 3AP-AP=PB\\ \sf 2AP=PB$

$\sf \dfrac{AP}{PB}=\dfrac{1}{2}$

Hence, The ratio of AP and PB is 1:2