Re: GEOMETRY - TRIANGLES
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18 Sep 2008, 20:24
If you draw a line, in a triangle, going from the middle of two points, to the third point, you will always cut the triangle in half, no matter what type of triangle you have, since every new point we are creating in the triangle is half way between two points, we only have to divide the triangle until we get to the desired triangle, in this case RCS, which is the result of:
-Divide ABC in half, you will have two equal triangles ABX and CBX, we know ABX is equal to 32 so CBX should be 32 as well.
-Since RCS is in triangle CBX, lets divide CBX in two, easy Y is right in the middle of C and B, so a line from Y to X will result in triangles CYX and BYX, both equal with areas of 32/2=16 each
-Now we use triangle CYX, we have R right in the middle of C and X, draw a line from R to Y, both new triangles, RYX and CRY, will have an area of 16/2=8 each.
-By now the only logical thing to do is to divide CRY using midpoint of CY, called S, to draw a line to R. The two new triangles RSY and RSCeach with an area of 8/2=4
RSC=4, using statement (1), to me statement (2) is not sufficient, so my answer is A