Question

In ∆ABC, line PQ || side BC. AP = 8 cm, PB = 4.8cm, QC = 5.4 cm, then find AQ.
A. 7 cm
B. 10.2 cm
C. 0.9 cm
D. 9 cm​

Answer 1

Step-by-step explanation:

Answer:-

Refer to Attachment if you are confused in Diagram.

Given that:-

In ∆ABC, line PQ || side BC. AP = 8 cm, PB = 4.8cm, QC = 5.4 cm, then find AQ.

Question from CBSE Sample Paper 2020-21 , Class 10

Concept:-

Applying Basic Proportionality Theorem.

Let's Do!

As, PQ || BC,

we can say that:-

$\sf{\dfrac{AP}{PB} = \dfrac{AQ}{QC}}$

$\sf{\dfrac{8}{4.8} = \dfrac{AQ}{5.4}}$

$\sf{\dfrac{8 \times 5.4}{4.8} = \dfrac{AQ}{1}}$

$\sf{\dfrac{43.2}{4.8} = \dfrac{AQ}{1}}$

$\sf{\dfrac{43.2}{4.8} = \dfrac{AQ}{1}}$

$\sf{AQ = 9 cm}$

So, 9 cm, D part is the answer.

Answer 2

Given

• AP = 8 cm
• PB = 4.8cm
• QC = 5.4 cm

We Find

• Value of AQ

We know

PQ || BC is Equal

So, we used Basic Proportionality Theorem.

According to the question

$As, PQ || BC, \\ \\ </p><p>\sf{\dfrac{AP}{PB} = \dfrac{AQ}{QC}} \\ \\ </p><p></p><p>{\dfrac{8}{4.8} = \dfrac{AQ}{5.4}} \\ \\ </p><p></p><p>\{\dfrac{8 \times 5.4}{4.8} = \dfrac{AQ}{1}} \\ \\ </p><p></p><p>{\dfrac{43.2}{4.8} = \dfrac{AQ}{1}} \\ \\ </p><p></p><p>{\dfrac{43.2}{4.8} = \dfrac{AQ}{1}} \\ \\ </p><p></p><p>{AQ = 9 cm}</p><p></p><p>$

So, Answer is 9 cm

Hence, D option is right