Two squares share a vertex. Each square contains a coloured rectangle with extended side. What’s green : blue? By Matthew Arcus.
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Solution
Green : blue = 1 : 1.
ΔABC~ΔEDC, BC:DC=AC:EC
ΔACF~ΔECG, AC:EC=CF:CG
∴BC:DC=CF:CG,
∴DC×CF=BC×CG
∴Green=Blue
∴Green:Blue=1:1
Video
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