ANSWER
• Ratio: 2
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• Lengths of the sides of the new triangle: 6, 6√2
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• Circles: ,see explanation
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• Triangle: ,see explanation
EXPLANATION
• The ratio is the quotient between the length of segment DE and, for example, segment AB,
[tex]\frac{DE}{AB}=\frac{6}{3}=2[/tex]
• Now, we have to multiply each side of triangle ABC by 2 to obtain the lengths of the sides of triangle DEF,
[tex]\begin{cases}DF=2BC=2\cdot3=6 \\ \\ EF=2AC=2\cdot\sqrt[]{3^2+3^2}=2\cdot\sqrt[]{2\cdot9}=6\sqrt[]{2}\end{cases}[/tex]
• Next, draw the two circles mentioned,
• The intersection between the two circles is point F. The ,triangle is,
