SOLUTION: A new triangle is formed when the base of a triangle is tripled and the height is halved . What is the ratio of the area of the original triangle to the area of the new triangle?

Algebra ->  Triangles -> SOLUTION: A new triangle is formed when the base of a triangle is tripled and the height is halved . What is the ratio of the area of the original triangle to the area of the new triangle?      Log On


   



Question 1012988: A new triangle is formed when the base of a triangle is tripled and the height is halved . What is the ratio of the area of the original triangle to the area of the new triangle?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Original area=(1/2)bh
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New area=(1/2)3b(1/2)h=(3/4)bh
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Ratio=((1/2)bh)/((3/4)bh)=(1/2)/(3/4)=(1/2)(4/3)=4/6=2/3
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ANSWER: The ratio of original to new is 2:3.