Question-215641

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

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

A C = \sqrt{1^{2} + {(1 + 1)}^{2}} = \sqrt{5}

D C \times A C = 1 \times (1 + 1 + 1)

\Rightarrow D C = \frac{3}{\sqrt{5}} = \frac{3 \sqrt{5}}{5}

A D = \sqrt{5} - \frac{3 \sqrt{5}}{5} = \frac{2 \sqrt{5}}{5}

A_{g r e e n} = \frac{1}{2} \times \frac{2 \sqrt{5}}{5} \times \sqrt{1^{2} - {(\frac{\sqrt{5}}{5})}^{2}} = \frac{10}{25}

A_{y e l l o w} = {(\frac{3}{5})}^{2} \times \frac{1 \times 2}{2} = \frac{9}{25}

\Rightarrow \frac{y e l l o w}{g r e e n} = \frac{9}{10} ✓

Commented by cherokeesay last updated on 12/Jan/25

s o n i c e!

t h a n k y o u m a s t e r!

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