Question

Divide a line segment of length 9 cm internally in the ratio 4 : 3. Also, give justification of the construction.

Answer 1

Given that

Determine a point which divides a line segment of lengthinternally in the ratio of.

We follow the following steps to construct the given

Step of construction

Step: I- First of all we draw a line segment.

Step: II- We draw a ray making an acute anglewith.

Step: III- Draw a ray parallel to AX by making an acute angle.

Step IV- Mark of two points on and three points on in such a way that.

Step: V- Joins and this line intersects at a point P.

Thus, P is the point dividing internally in the ratio of

Justification:

In we have

And

So, AA similarity criterion, we have