Question

Draw segment pq of length 5 cm and divide it in the ratio 3 is to 2

Answer 1

Step-by-step explanation:

Steps of construction.

i. Draw a line segment AB = 8 cm.

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 point P.

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