+3 votes
in Class 10 by kratos

Divide a line segment of length 12 cm internally in the ratio 3 : 2.

1 Answer

+4 votes
by kratos
 
Best answer

Following are the steps of construction.

Step of construction :

(i) Draw a line segment AB = 12 cm by using a ruler.

(ii) Draw any ray making an acute angle ∠BAX with AB.

(iii) Along AX, mark-*** 5 (=3 + 2) points A1,A2,A3,A4 and A5 such that AA1 = A1A2 = A2A3 = A3A4 =A4A5.

(iv) Join BA5

(v) Through A3 draw a line A3P parallel to A5B by making an angle equal to ∠AA5B at A3 intersecting

AB at a point P.

The point P so obtained is the required point, which divides AB internally in the ratio 3: 2.

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