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Adjuntos:

Respuestas

Respuesta dada por: nuevocorreo
1

Explicación paso a paso:

1.

 {c}^{2}  =   {a}^{2} +  {b}^{2}  \\  {a}^{2}  =  {c}^{2}  -  {b}^{2} \\ {a}^{2}  =  {(25)}^{2}  -  {(24)}^{2} \\  {a}^{2}  = 625 - 576 \\ {a}^{2}  =49 \\ a =  \sqrt{49 }  = 7

2.

 {c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {c}^{2}  =  {(3)}^{2}  +  {(4)}^{2}     =  \\ {c}^{2}  = 9 + 16  \\ {c}^{2}  =25 \\ c =  \sqrt{25}  = 5

3.

 {c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {c}^{2}  =  {( \sqrt{3} )}^{2}  +  {(2)}^{2}     =  \\ {c}^{2}  = 3 + 4  \\ {c}^{2}  =7 \\ c =  \sqrt{7}

4.

 {c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {c}^{2}  =  {(5)}^{2}  +  {(12)}^{2}     =  \\ {c}^{2}  = 25+ 144  \\ {c}^{2}  =169\\ c =  \sqrt{169}  = 13

5.

{a}^{2}  =  {c}^{2}  -  {b}^{2} \\ {a}^{2}  =  {(3 \sqrt{5} )}^{2}  -  {(4)}^{2} \\  {a}^{2}  = 45 - 16\\ {a}^{2}  =29 \\ a =  \sqrt{29 }

6.

{c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {c}^{2}  =  {( 2\sqrt{3} )}^{2}  +  {(3 \sqrt{2} )}^{2}     =  \\ {c}^{2}  = 12+ 18  \\ {c}^{2}  =30 \\ c =  \sqrt{30}

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