Question

8.
Draw a line segment AB = 6 cm. Find a point Q on it such that AQ=⅖PB
Plz Solve this question
Ch 10 - Parallel lines
WS 3 No. 8
Class 8 Math book(DAV)
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Answer 1

Explanation:

The length of aq is 2.4 cm and length of qb is 3.6 cm.

Step-by-step explanation:

It is given that ab=6 cm and q lies on ab.

We have

aq=\frac{2}{3}qbaq=

3

2

qb

Divide both sides by qb.

\frac{aq}{qb}=\frac{2}{3}

qb

aq

=

3

2

It means point q divides the line segment ab in 2:3.

Let the length of aq and qb are 2x and 3x respectively.

2x+3x=62x+3x=6

5x=65x=6

Divide both sides by 5.

x=\frac{6}{5}x=

5

6

x=1.2x=1.2

The value of x is 1.2.

aq=2x=2(1.2)=2.4aq=2x=2(1.2)=2.4

qb=3x=3(1.2)=3.6qb=3x=3(1.2)=3.6

Therefore the length of aq is 2.4 cm and length of qb is 3.6 cm