Respuesta :

ANSWER

The correct answer is C

EXPLANATION

The given triangle is a right triangle. Since two angles are equal, it is a right isosceles triangle.

This implies that, x=8 units.

Using Pythagoras Theorem,

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

This implies that:

[tex]{y}^{2} = 64 + 64[/tex]

[tex]{y}^{2} =128[/tex]

Take positive square root,

[tex]{y} = \sqrt{128} [/tex]

[tex]{y} = 8 \sqrt{2} [/tex]

The correct answer is C

Answer:

Correct choice is C. [tex]x=8[/tex], [tex]y=8\sqrt{2}[/tex].

Step-by-step explanation:

Apply formula [tex]\sin\left(\theta\right)=\frac{opposite}{hypotenuse}[/tex]

[tex]\sin\left(45^o\right)=\frac{8}{y}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{8}{y}[/tex]

[tex]y=8\sqrt{2}[/tex]

Apply formula [tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]

[tex]\tan\left(45^o\right)=\frac{8}{x}[/tex]

[tex]1=\frac{8}{x}[/tex]

[tex]x=8[/tex]

Hence correct choice is C. [tex]x=8[/tex], [tex]y=8\sqrt{2}[/tex].

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