Math, asked by poojagalhotra5462, 1 year ago

Draw line segment of length 8 cm and divide it internally in the ratio 4 is to 5

Answers

Answered by arjun6068
87
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Answered by rithanyasenthil15
11

Step-by-step explanation:

Steps of construction:

  • 1. Draw a line segment AB = 8 cm.
  • 2. Draw a ray AX making an acute angle at A with AB.
  • 3. Draw another ray BY parallel to AX making an acute angle. Make sure angle must be same as considered in step 2.
  • 4.Taking A as center draw an arc cutting at A1 on the line. Taking same radius consider A1 as a center and draw another arc cutting line at A2. Repeat the same procedure and divide the line AX into 4 points A1, A2, A3, A4. In such a way, AA1=A1A2=A2A3=A3A4
  • 5. Similar to step 4, Taking B as center draw an arc cutting at B1 on the line. Taking same radius (set in step 4) consider B1 as a center and draw another arc cutting line at B2. Repeat the same procedure and divide the line BY into 5 points in such a way that BB1 = B1B2= B2B3= B3B4 = B4B5
  • 6. Join A4B5 7.Line A4B5 intersect AB at a point P. Therefore, P is the point dividing the line segment AB internally in the ratio of 4 : 5.
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