Question

Draw 7.6 cm line segment into the ratio 4:5​

Answer 1

Draw a line segment of length 7.6 cm and divide it internally in the ratio 4 : 5

SOLUTION

Steps of construction:

1) Draw a line segment AB = 7.6 cm.

2) Draw a ray AX making an acute angle ∠BAX=60° with AB.

3) Draw a ray BY parallel to AX by making an acute angle ∠ABY = ∠BAX.

4) Mark four points A1, A2, A3, A4 on AX and five points B1,B2,B3,B4,B5 on BY in such a way that AA1=A1A2=A2A3=A3A4.

5) Join A4B5

6) Let this line intersect AB at a point P.

Thus, P is the point dividing the line segment AB internally in the ratio of 4 : 5.

Answer 2

Answer:

let X be the common multiple

hence

4x+5x=7.6

9x=7.6

x=7.6/9

hence

1 part is 4x=4*7.6/9=3.377cm

2 part is 5x=5*7.6/9=4.223cm

Step-by-step explanation:

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