Question

1.3 Estão deixando o exercício montado agora resolva: 

 x² = (30)² + (60)²

y² = (60)² + (60)²  

z² = (90)² + (60)²
me ajudeeemm prfv​

Answer 1

${x}^{2} = {(30)}^{2} + {(60)}^{2}$

${x}^{2} = 900 \: + \: 3600$

${x}^{2} = 4500$

$x = \frac{ + }{} \sqrt{4500}$

$x = \frac{ + }{} \sqrt{ {30}^{2} \times 5 }$

$x = \frac{ + }{} \sqrt{ {30}^{2} } \sqrt{5}$

$x = \frac{ + }{} \: 30 \sqrt{5}$

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${y}^{2} = {(60)}^{2} + {(60)}^{2}$

${y}^{2} = 3600 \: + \: 3600$

${y}^{2} = 7200$

$y = \frac{ + }{} \sqrt{7200}$

$y = \frac{ + }{} \sqrt{ {60}^{2} \times 2 }$

$y = \frac{ + }{} \sqrt{ {60}^{2} } \sqrt{2}$

$y = \frac{ + }{} \: 60 \sqrt{2}$

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${z}^{2} = {(90)}^{2} + {(60)}^{2}$

${z}^{2} = 8100 \: + \: 3600$

${z}^{2} = 11700$

$z = \frac{ + }{} \sqrt{11700}$

$z = \frac{ + }{} \sqrt{ {30}^{2} \times 13 }$

$z = \frac{ + }{} \sqrt{ {30}^{2} } \sqrt{13}$

$z = \frac{ + }{} \: 30 \sqrt{13}$