Data Sufficiency Question ABC be a right angled triangle right angled at B Let D be a point on side

Both statements a and b are required to determine the ratio of BD/DC as option a) gives the trigonometrical relation in triangle ABD and value. Of AB is given in option b)
8 years agoHelpfull: Yes(12) No(0)
In right angle triangle ABC angle B is 90 degree(given).

AD Joins A To D, AD Makes an angle of 45 with A.

Now in Triangle ABD angle ADB is 45 deg, by mensuration rule Sides Opposite to Equal Angles of a Triangle are Equal.

Hence BD =1.

Since BD is intersected by AD, BD=1 & DC=root(3)-1 or .732.

hence -> BD/DC= (1*1000)/(.732*1000) or 1000/732 or 250/183

BD/DC=250/183
8 years agoHelpfull: Yes(7) No(1)
Can you please be more explanatory?
Its given BC= root3 not BD. And why would you want to divide AC
8 years agoHelpfull: Yes(3) No(2)
How 3 solutions Nikita?
8 years agoHelpfull: Yes(1) No(0)
(root(3)+1)/2
8 years agoHelpfull: Yes(1) No(0)
ratio of BD:DC=1:0.732 i.e. 250:183
8 years agoHelpfull: Yes(1) No(0)
bd=root3 and angle with d to b is 45. so it will divide ac to half ie; ndc=(root3)/2. so bd/dc=1
8 years agoHelpfull: Yes(0) No(4)
3 solutions
8 years agoHelpfull: Yes(0) No(1)
AB=1,AC=ROOT(1^2+ROOT3^2)=2.
1/2AC*BD=1/2BC*AB
OR, BD=ROOT3/2
AD=AC
BD/DC=(ROOT3/2)/1
=1.732/1
8 years agoHelpfull: Yes(0) No(2)
A is the write Answer Because A and D Make An Angle 45'.
6 years agoHelpfull: Yes(0) No(1)

Data Sufficiency Question:
ABC be a right angled triangle, right angled at B. Let D be a point on side BC. Determine the ratio BD/DC.

A. The length of side BC is root(3) and line joining A to D makes an angle of 45 degrees with AB.

B. The length of AB is 1.