Question

Find the value of x. ( ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )

Answer 1

Answer:

$X = 45\sqrt{2}$

Step-by-step explanation:

All sides are of equal length.

$L = 45$

So the figure is a square.

To find the x side, which is the hypotenuse of the triangle, we use Pythagoras' theorem:

$X = \sqrt{L ^ 2 + S ^ 2}$

Where

S is the length of the adjacent side and L is the length of the opposite side and X is the hypotenuse.

Since S and L are sides of a square, it is true that:

$S = L = 45$

So:

$X = \sqrt{L ^ 2 + L ^ 2}$

$X = \sqrt{2L ^ 2}$

$X = \sqrt{2}L$

$X = 45\sqrt{2}$