Triangle ABC is stretched along the x direction to form triangle AB’

1.	Triangle ABC is stretched along the x direction to form triangle AB’C’ and then triangle AB”C”. AC = CC’ = C’C”. What is the ratio of the areas of the three triangles?
Answer» 1 : 2 : 3 The height of each triangle is the same (say H). If AC = CC' = C'C" = b, then the bases of the three triangles are b, 2b and 3b. Area of triangle ABC , A1= 1/2bh Area of triangle AB'C', A2= 1/2(2b)h

Triangle ABC is stretched along the x direction to form triangle AB’C’ and then triangle AB”C”. AC = CC’ = C’C”. What is the ratio of the areas of the three triangles?

Answer»

1 : 2 : 3

The height of each triangle is the same (say H).
If AC = CC' = C'C" = b,
then the bases of the three triangles are b, 2b and 3b.
Area of triangle ABC , A1= 1/2bh
Area of triangle AB'C', A2= 1/2(2b)h

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Triangle ABC is stretched along the x direction to form triangle AB’C’ and then triangle AB”C”. AC = CC’ = C’C”. What is the ratio of the areas of the three triangles?

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