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In the figure above, triangle abc is similar to triangle ABC. X, Y, Z
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06 Jun 2017, 10:25
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Difficulty:
45% (medium)
Question Stats:
61% (01:36) correct 39% (02:04) wrong based on 161 sessions
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In the figure above, triangle abc is similar to triangle ABC. X, Y, Z and x, y, z represent the sides of each similar triangle. If the area of triangle ABC is twice the area of triangle abc, which of the following expresses X in terms of x?
Re: In the figure above, triangle abc is similar to triangle ABC. X, Y, Z
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12 Jan 2019, 15:33
Thank you for your explanation! I am a little bit confused about how we know the ratio for this triangle is 1:1:sqrt2. Could you explain in more detail how you got this answer? Thank you very much!
quantumliner wrote:
Let area of Triangle abc = a Let area of Triangle ABC = 2a
As triangles ABC and abc are similar, then
\(\frac{Area of Triangle ABC}{Area of Triangle ABC}\) = \(X^2\)/\(x^2\)
Thank you for your explanation! I am a little bit confused about how we know the ratio for this triangle is 1:1:sqrt2. Could you explain in more detail how you got this answer? Thank you very much!
quantumliner wrote:
Let area of Triangle abc = a Let area of Triangle ABC = 2a
As triangles ABC and abc are similar, then
\(\frac{Area of Triangle ABC}{Area of Triangle ABC}\) = \(X^2\)/\(x^2\)
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61% (01:36) correct 
