Flag Analytical Geometry> Given 2 lines L1= 3x+4y+10=0 and L2= 3x+4...
question mark

Given 2 lines L1= 3x+4y+10=0 and L2= 3x+4y+5=0 and an equilateral triangle ABC is constructed such that A(2,0) and BC lies on L1,L2 respectively; find the length of Side of the equilateral triangle
Also if ‘theeta’ is the angle between L1 and line AB then tan(theeta) =?

Manoj Kumar Choudhary , 8 Years ago
Grade 11
anser 1 Answers
Ajay

Last Activity: 8 Years ago

Point A(2, 0) does not lie on line L2 but still question be solved as follows
Let Point A be any point on line L1 and B and C are points on L2
The distance between L1 and L2 is given by
(10-5)/sqrt(9+16)  = 1
Let D be foot of prependicular from A to BC, then AD = 1 (distance between lines)
Clearly sin60 = AD/AB where AB is side of traingle
AB = AD/sin60 =  2/(sqrt(3))

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments