Respuesta :

Answer:

[tex]x=\sqrt6\\y=\sqrt{12}[/tex]

Step-by-step explanation:

We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.

So the side with length [tex]x[/tex] must be equal to the side with length [tex]\sqrt6[/tex]. That is:

[tex]x=\sqrt6[/tex]

Now, by Pythagoras:

[tex]y=\sqrt{(\sqrt6)^2+(\sqrt6)^2}\\=\sqrt{6+6}\\=\sqrt{12}[/tex]

semsee45

Answer:

[tex]x=\sqrt{6}[/tex]

[tex]y=2\sqrt{3}[/tex]

Step-by-step explanation:

Sum of the interior angles of a triangle = 180°

So the missing angle = 180 - 45 - 90 = 45°

Therefore, as two of the interior angles are congruent (both 45°), this is an isosceles triangle.  This means that the two shorter sides are equal,

so [tex]x=\sqrt{6}[/tex]

Use Pythagoras' Theorem to calculate y:

[tex]y=\sqrt{(\sqrt{6})^2+(\sqrt{6})^2 } =\sqrt{12} =2\sqrt{3}[/tex]

Otras preguntas