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Question Number 215641 by cherokeesay last updated on 12/Jan/25

Answered by mr W last updated on 12/Jan/25

$$AC=\sqrt{1^2+{(1+1)}^2}=\sqrt{5}$$$$DC\times AC=1\times (1+1+1)$$$$\Rightarrow DC=\frac{3}{\sqrt{5}}=\frac{3\sqrt{5}}{5}$$$$AD=\sqrt{5}-\frac{3\sqrt{5}}{5}=\frac{2\sqrt{5}}{5}$$$$A_{green}=\frac{1}{2}\times \frac{2\sqrt{5}}{5}\times \sqrt{1^2-{\left(\frac{\sqrt{5}}{5}\right)}^2}=\frac{10}{25}$$$$A_{yellow}={\left(\frac{3}{5}\right)}^2\times \frac{1\times 2}{2}=\frac{9}{25}$$$$\Rightarrow \frac{yellow}{green}=\frac{9}{10}✓$$

Commented by cherokeesay last updated on 12/Jan/25

$$sonice!$$$$thankyoumaster!$$$$\underset{―}{\underbrace{⋚}}$$

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