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albertrahul
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GMAT Prep - Geometry
Source: Beat The GMAT — Problem Solving |
here the answer is A.jawanindia2007 wrote:sorry typo......... ithink it is c.let me know if i am right
given the length of one side it can be deduced through the isosceles triangle, the length of required side.
hence A
ksh wrote:Statemet 1. AD=6jawanindia2007 wrote:sorry typo......... ithink it is c.let me know if i am right
angle ADB=180-2x
So, angleB=x
which means triangle ADB is an isosceles. also, from this AD=BD.
After knowing the length of BD, BC is known as the triangle BDC is also an isosceles.
Hence 1 is sufficient.
stmt2. merely knowing the angle cant let one know side of a triangle. Hence, insufficient
hence A
Angle BDC (2x)= angle DAB(X)+ angle DBA(X)
ie 2X= sum of the non-adjacent angles(X+X)
So it can be concluded, AD =BD = BC.(Isoceles triangles)
Statement (1) AD=6, sufficient , so BC = 6
Statemet (2) X=36, this info just reiterates the fact AD= BD=BC, but without the length of any one of these sides, length of BC cant be found, so Insufficient.
Answer - A
ie 2X= sum of the non-adjacent angles(X+X)
So it can be concluded, AD =BD = BC.(Isoceles triangles)
Statement (1) AD=6, sufficient , so BC = 6
Statemet (2) X=36, this info just reiterates the fact AD= BD=BC, but without the length of any one of these sides, length of BC cant be found, so Insufficient.
Answer - A
















