Question

what is y? i understood every question before this one, i think i maybe typing the answer wrong can you clarify what y is

Answer 1

`y\text{ = 7}√(6)`

Step-by-step explanation:

Here, we want to get the value of y

What we have in the triangle is an isosceles right triangle (two of the internal angles are 45 degrees each)

Thus, we have the base equal to the height

To get the hypotenuse length, we use Pythagoras' theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that:

`\begin{gathered} \text{ y}^2\text{ = \lparen7}\sqrt{3\text{ }})\placeholder{⬚}^2\text{ + \lparen7}√(3)\text{ \rparen}^2\text{ } \\ y^2\text{ =147+ 147} \\ y^2\text{ = 294} \\ y\text{ = }√(294) \\ y\text{ = 7}√(6) \end{gathered}`