Question

Quickly plz What is the value of x? O liv units O 2 13 units O 2/3 units O 3v3 units

Answer 1

Answer:

$x=3\sqrt{2}$

Step-by-step explanation:

Since the smaller triangles have a side of the same length, they share one side, and the included angle is 90°, the triangles are congruent.

This means the length of the side to the left is also x as shown in the image below.

The bigger triangle is also right and has side lengths of x, x, and 6 (the hypotenuse), thus:

$x^2+x^2=6^2$

Operating:

$2x^2=36$

$x^2=18$

Since 18=9*2

$x=\sqrt{9*2}$

$\mathbf{x=3\sqrt{2}}$

The options are not clear enough, so I cannot make a choice.