Answer:
2[tex]\sqrt{3}[/tex] or ~3.464
Step-by-step explanation:
We see that the triangle ABC has an angle of 90° and 45°, so 90+45 is 135, and 180-135 is 45° which is a special triangle. The hypotenuse is k[tex]\sqrt{2}[/tex] and we know that k is 6 so the other side lengths are 6 since they are just k. Now the triangle CBD hares a side so it is 6 and the angles are 60° and 90° so the last angle is 30° which is another special triangle. Since the side length is 6 and it equals [tex]\frac{\sqrt{3} }{2}[/tex]k. We divide 6 by [tex]\frac{\sqrt{3} }{2}[/tex] and we get 4[tex]\sqrt{3}[/tex] which is the value of k or the hypotenuse. To find x, we multiply k by 1/2 or divide it by 2. Dividing 4[tex]\sqrt{3}[/tex] by 2 gives us 2[tex]\sqrt{3}[/tex] which is x. If the question wants the exact number, then it is 3.464, otherwise, just put 2[tex]\sqrt{3}[/tex]. Hope this helps! (I'm not a bot btw)
