Question

Plss help me do this o-o

Answer 1

`x=\sqrt6\\y=√(12)`

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=√((\sqrt6)^2+(\sqrt6)^2)\\=√(6+6)\\=√(12)`

Answer 2

`x=√(6)`

`y=2√(3)`

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=√(6)`

Use Pythagoras' Theorem to calculate y:

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