SOLUTION: All sides of a triangle are halved to make a new triangle. What is the relationship between the area of the new triangle and the original triangle? Explain your reasoning.

Question 1002577: All sides of a triangle are halved to make a new triangle. What is the relationship between the area of the new triangle and the original triangle? Explain your reasoning.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The area of the inside new triangle is 1/4 the area of the larger one.
You can show this by using the theorem that says when you connect midpoints of sides of a triangle, that new segment is parallel to the third side and half its length. If you do that to all three pairs, you generate a triangle completely similar to the first but 1/2 its dimensions, thus 1/4 its area.
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