Question

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Answer 1

Resposta:

Explicação passo a passo:

$Teorema\:de\:Pitagoras...$

$a)$

$(2,5)^{2} =(1,5)^{2} +x^{2}$

 $6,25=2,25+x^{2}$

 $6,25-2,25=x^{2}$

      $x^{2} =4$

      $x=\sqrt{4}$

      $x=2$

$b)$

$x^{2} =24^{2}+10^{2}$

$x^{2} =576+100$

$x^{2} =676$

$x=\sqrt{676}$

$x=26$

$c)$

$(5x)^{2} =(4x)^{2}+12^{2}$

$25x^{2} =16x^{2} +144$

$25x^{2} -16x^{2} =144$

    $9x^{2} =144$

      $x^{2} =144/9$

      $x^{2} =16$

      $x=\sqrt{16}$

      $x=4$

$d)$

  $x^{2} =(\sqrt{17}) ^{2} +(\sqrt{19}) ^{2}$

  $x^{2} =17+19$

  $x^{2} =36$

  $x=\sqrt{36}$

  $x=6$

$e)$

  $15^{2}=9^{2}+x^{2}$

  $225=81+x^{2}$

  $225-81=x^{2}$

     $x^{2} =144$

     $x=\sqrt{144}$

     $x=12$

$f)$

  $x^{2} =24^{2}+18^{2}$

  $x^{2} =576+324$

  $x^{2} =900$

  $x=\sqrt{900}$

  $x=30$

$Atte:\\jean318$

 

     

Answer 2

Resposta:

Explicação passo a passo:

1) a) 2,5² = 1,5² + x²

6,25 = 2,25 + x²

x² = 6,25 - 2,25

x² = 4

√x² = √4

x = 2.

b) y² = 10² + 24²

y² = 100 + 576

y² = 676

√y² = √676

y = 26.

c) (5x)² = 12² + (4x)²

25x² = 144 + 16x²

25x² - 16x² = 144

9x² = 144

√(9x²) = √144

√9√x² = √144

3x = 12

x = 4.

d) x² = (√17)² + (√19)²

x² = 17 + 19

x² = 36

√x² = √36

x = 6.

e) 15² = 9² + x²

225 = 81 + x²

x² = 225 - 81

x² = 144

√x² = √144

x = 12.

f) x² = 18² + 24²

x² = 324 + 576

x² = 900

√x² = √900

x = √9√100

x = 3 . 10

x = 30.