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shobuj40
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In triangle ABC, point X is the midpoint of side AC and Updated on: 28 Dec 2008, 00:40
Originally posted by shobuj40 on 27 Dec 2008, 00:33.
Last edited by shobuj40 on 28 Dec 2008, 00:40, edited 1 time in total.
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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 the triangular region RCS?

A. the area of the triangular region ABX is 32
B. The length of one of the altitudes of triangular ABC is 8



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amopk
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In triangle ABC, point X is the midpoint of side AC and 27 Dec 2008, 04:12
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Is it A

A)
The first hint in the length equalities.
So, A(ABX) = A(BXC) = 32
YR splits BXC into 2 equal halves, so A(YRC) = 16
SR splits YC into 2 equal halves, so A(SRC) = 4

B) altitude is insufficient since we do not anything about the type of the triangle ABC.
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shobuj40
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In triangle ABC, point X is the midpoint of side AC and 27 Dec 2008, 05:38
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ampok

How can YR split BXC in two equal halves
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icandy
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In triangle ABC, point X is the midpoint of side AC and 28 Dec 2008, 15:56
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shobuj40
ampok

How can YR split BXC in two equal halves
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I think he meant YX will split BXC into two halves. A(YXC)= 8

Again YR will divide XYC into two halves A(YRC)=4

SR will divide YRC into two halves A(RCS)=2



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