Respuesta :

Answer:

The answer is A

Step-by-step explanation:

Answer:

[tex]a = 4 \: [/tex]

[tex]b = 2 \sqrt{2} [/tex]

Step-by-step explanation:

tan 45° = 1

so,

=》

[tex]1 = \frac{b}{2 \sqrt{2} } [/tex]

=》

[tex]b = 2 \sqrt{2} [/tex]

now,

by pythagorus theorem :-

=》

[tex]a {}^{2} = (2 \sqrt{2} ) {}^{2} + (2 \sqrt{2} ){}^{2} [/tex]

=》

[tex]a {}^{2} = 8 + 8[/tex]

=》

[tex]a {}^{2} = 16[/tex]

=》

[tex]a = \sqrt{16} [/tex]

=》

[tex]a = 4[/tex]

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