Draw seg AB of any length. Locate point D on AB such that AD²=3BD²
Answers
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
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Answer:
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
Step-by-step explanation: