Draw a line, 10 centimetres long ad divide it in the ratio 3 : 4.

Open in App

Solution

The steps of construction to divide a line segment of length 10 cm in the ratio 3:4 are as follows:

1) Draw a line segment AB of length 10 cm.

2) Draw an acute angle, ∠YAB, at point A on the upper side of AB such that AY = 7 cm (sum of ratios).

3) Mark an arc on AY at a distance of 3 cm from A and name it as X. The remaining length XY = 7 cm − 3 cm = 4 cm.

4) Join YB and draw a line segment XZ parallel to YB.

We have obtained that AZ:ZB = 3:4.

Thus, point Z divides line segment AB of length 10 cm in the ratio 3:4.

Suggest Corrections

Similar questions

Draw a line, 6 centimetres long and divide it in the ratio 2 : 3 : 4.

Draw a line, 8 centimetres long and divide it in the ratio 4 : 5.

Draw a line, 8 centimetres long and divide it into five equal parts.

Draw a line 15 centimetres long. Markof it. What is its length? Now mark of this shorter line. What is its length?

Draw triangle of sides 6, 7 and 8 centimetres. Divide it into three triangles whose areas are in the ratio 1 : 2 : 3.

Join BYJU'S Learning Program