Question

draw a line segment AB of length 7 cm and fing a ppint P on it such that AP : PB = 1:3 . Measure AP and PB​

Answer 1

Answer:

Steps of construction are as follows:

(1) Draw a line segment AB=7cm

(2)Mark (3+4)=7 points A

1

,A

2

,A

3

,A

4

,A

5

,A

6

,A

7

(2) Join A

7

to B

(3) From A

3

,draw A

3

parallel to A

7

B meeting AB at P.

(4) Then P is the point on AB in the ratio 3:4

solution

Answer 2

Steps of construction:

• Draw a line segment of length 7 cm and name it as AB.

• Construct an acute angle to the line segment and name the line newly formed as AY.

• Take a small measurement in compass and cut the line AY.

• Mark the points of equal measurement on AY as X₁, X₂, X₃...

• Join B from X₄.

(We have taken the 4th point that is X4 because the sum of ratios is 1 + 3 = 4)

• Construct a line parallel to BX₄ on BX₁

• Mark the new point as P

AP = 1.7

PB = 5.2