Question

draw segment PQ of length 7 cm divide it in the ratio 3:2​

Answer 1

Answer:

Let the line segment be PQ

Now we will divide the line segment PQ with ratio 3:2

Step 1: Firstly we will draw a line 6cm PQ.

Step 2: Draw any other ray PX, makes angle less than 90 (acute angle).

Step 3: Mark the 5 (because 3 + 2 = 5) arcs in a line PX, named P₁, P₂, P₃, P₄, P₅.

such that,

PP₁ = P₁P₂ = P₂P₃ = P₃P₄ = P₄P₅

Step 4: Join QP₅.

Step 5: Draw a parallel line QP₅ from P₃. That is intersect the PQ line at point R.

Thus PR : RQ = 3:2

Step-by-step explanation:

Hope this is helpful for you.

Answer 2

Given,

A 7cm long segment PQ.

To Find,

The divided PQ with a ratio of 3:2.

Solution,

To draw and divide we can follow the steps as follows:

The line segment is PQ.

PQ is of a total of 7 cm.

At first draw the PQ.

Now divide the PQ into total (3+2=)5 segments.

So each segment will be 1.4cms.

Now we need to divide the line segment PQ with a ratio 3:2.

Select 3 parts and name the point R.

So now PR=4.2 cm and RQ =2.8 cm.

Hence, In this way, we can draw a segment PQ of 7 cm and divide it in a 3:2 ratio manually.