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In triangle ABC, point X is the midpoint of side AC and [#permalink]
19 Jan 2010, 21:04

00:00

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Difficulty:

55% (hard)

Question Stats:

61% (01:43) correct
39% (03:12) wrong based on 36 sessions

In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangular region RCS ?

(1) The area of triangular region ABX is 32. (2) The length of one of the altitudes of triangle ABC is 8.

Re: OG #12 Problem 109 [#permalink]
19 Jan 2010, 22:05

Okay, I didn't see that. So, if you draw a line from the vertex of a triangle to the midpoint of an opposite line, does that automatically split the triangle into two smaller equal triangles? If so, the problem makes a lot more sense. Thanks for the explanation.

Re: OG #12 Problem 109 [#permalink]
19 Jan 2010, 22:13

Yes the line joining mid point and opp vertex divides it into 2 triangles having equal area.

Area of triangle = 1/2 base * height

since height remains the same and base is divided into 2 equal parts...thus areas are also divided into 2 equal parts.. Letme know if u got the concept else I will elaborate it. _________________

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