Question

Draw seg AB of any length. Locate point D on AB such that AD²=3BD²​

Answer 1

Given :  seg AB of any length.

To find  : Locate point D on AB such that AD²=3BD²​

Solution:

AD²=3BD²​

=> AD = √3 DB

=> AD/DB = √3

Step 1 :  Draw a line segment AB of any length

Step 2 :  Draw  a right angle at A  and take length of 1 cm at point X

Step 3 : Taking Point M as center and using compass width = 2 cm , draw an arc intersecting AB at M

AM = √3  (∵ AM²  = XM² - AX² = 2² - 1² = 3 )

Step 4 : Using Compass width = 1 cm Taking M as center take a point further on AB  as N  

MN = 1

AM : MN = √3 : 1

Step 5 : Draw an  acute angle at A on AB and draw ray AX

Step 6 : Draw right angles at  AM  & AN  intersecting AX at  P & Q

Step 7 : Join QB

Step 8 : Draw a line parallel to QB passing through P and intersecting AB at D

AD : DB = AM : MN = √3 : 1

=> AD²=3BD²​

D is the point on AB such that AD²=3BD²​

Learn More:

Draw a line segment of 10.5 cm. Divide this line segment into ratio 3 ...

https://brainly.in/question/14793362

To divide a line segment AB in the ratio 3:7, what is the minimum ...

https://brainly.in/question/15360192