C o n s i d e r t h e t r i a n g l e O A B i n t h e x y p l a n e w h e r e O ( 0 , 0 ) , A ( 6 , 0 ) , B ( 2 , 3 ) . A s q u a r e P Q R S i s i n s c r i b e d i n t h e t r i a n g l e w i t h P , Q o n O A , R o n A B a n d S o n B O . T h e n t h e s i d e o f t h e s q u a r e e q u a l s : a ) 3 2 b ) 9 4 c ) 2 d ) 3 2 5 2 Share with your friends Share 0 Neha Sethi answered this Dear student Let the length of the square= a unitsThen the top two vertices of square will be Sx,a and Rx+a,aPoint S is on the line OB,point R is on the line AB.Now we will find the equation of line OBSlope of OB,m1=y2-y1x2-x1, Here x1,y1=0,0 and x2,y2=2,3=3-02-0=32So, equation of line OBy-y1=m1x-x1y-0=32x-0y=32x⇒x=2y3⇒x=2a3 ...1Now we will find the equation for line ABSlope of line AB,m2=y2-y1x2-x1, Here x1,y1=6,0 and x2,y2=2,3=3-02-6=32-6So, equation of line ABy-y1=m2x-x1y-0=32-6x-6y=32-6x-6⇒2-6y3+6=x⇒x+a=2-6a3+6Putting the value of x from 12a3+a=2-6a3+62a+3a=2-6a+182a+3a=2a-6a+189a=18a=2 units Regards 0 View Full Answer Shankar answered this C) 2 0