Question

Draw a line segment ab=6 cm. Find a point q on it such that aq= 2/3qb

Answer 1

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Answer 2

Answer:

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

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

Divide both sides by qb.

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

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

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

$2x+3x=6$

$5x=6$

Divide both sides by 5.

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

$x=1.2$

The value of x is 1.2.

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

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

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