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Find the area  of the shaded green square in the blue isosceles right triangle, whose legs have length 6 cm.

May 6, 2020

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Find the area  of the shaded green square in the blue isosceles right triangle,
whose legs have length 6 cm.

$$\begin{array}{|rcll|} \hline 3x &=& 6\sqrt{2} \quad | \quad : 3 \\ x &=& 2\sqrt{2} \\ x^2 &=& 4\cdot 2 \\ \mathbf{x^2} &=& \mathbf{8} \\ \hline \end{array}$$

The area  of the shaded green square is $$\mathbf{8}$$

May 6, 2020