Question

Draw a line segment of length 7.2cm an divide it into 5:3 ratio measure the two parts solution

Answer 1

The two parts are 4.5cm and 2.7cm

Answer 2

Draw a line segment of length 7.2 cm and divide it in the ratio 5 : 3. Measure the two parts.

$<u>Answer :</u>$

Need to draw a line segment with length 7.2cm

Also, to divide it 5:3 parts. Measure them..

⇒ Let m = 5 and n = 3

$<u>Construction steps:</u>$

$<b><i>$

1) Draw a ray AX, making an acute angle with AB.

2) Locate 8 = m + n points

A1,A2,A3,A4,A5,A6,A7,A8 on AX such that AA1 = A1A2 = A2A3 = A3A4 = A4A5 = A5A6 = A6A7 = A7A8

3) Join BA8

4) Through the point A5 (m = 5) draw a line parallel to A8B at A5 intersecting AB at the point C. Then AC:CB = 5:3

⇒ Let the ratio be 5x:3x

⇒ 5x + 3X = 7.2cm

⇒ 8x = 7.2cm.

⇒ x = 0.9

⇒ x = 0.9cm.

Substituting ‘x’ value in 5x,3x we get

⇒ 5x = 5 × 0.9

= 4.5cm

⇒ x = 3 × 0.9

= 2.7cm.