Question

Plss help me do this o-o

Answer 1

Answer:

$x=\sqrt6\\y=\sqrt{12}$

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 $x$ must be equal to the side with length $\sqrt6$. That is:

$x=\sqrt6$

Now, by Pythagoras:

$y=\sqrt{(\sqrt6)^2+(\sqrt6)^2}\\=\sqrt{6+6}\\=\sqrt{12}$

Answer 2

Answer:

$x=\sqrt{6}$

$y=2\sqrt{3}$

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 $x=\sqrt{6}$

Use Pythagoras' Theorem to calculate y:

$y=\sqrt{(\sqrt{6})^2+(\sqrt{6})^2 } =\sqrt{12} =2\sqrt{3}$