Question

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Determine x e y, sabendo que os triângulos são semelhantes​

Answer 1

Resposta:

$a)\\ \\ {3\over x}={y\over5}={9\over12}\\ \\ \\ {3\over x}={9\over12}\\ \\ 9x=3.(12)\\ \\ 9x=36\\ \\ x={36\over9}\\ \\\fbox{ x=4 }$

${y\over5}={9\over12}\\ \\ 12y=9.(5)\\ \\ y={45\over12}\\ \\\fbox{ y=3,75 }$

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$b)\\ \\ {7\over x}={8\over y }={6\over3}\\ \\ \\ {7\over x}={6\over3}\\ \\ 6x=21\\ \\ x={21\over6}\\ \\\fbox{ x=3,5 }$

${8\over y}={6\over3}\\ \\ 6y=24\\ \\ y={24\over6}\\ \\\fbox{ y=4 }$