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31 votes
31 votes
I would really like help

I would really like help-example-1
User Gwamaka Charles
by
2.9k points

1 Answer

17 votes
17 votes

Answer:

2
√(3) or ~3.464

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
√(2) 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
(√(3) )/(2)k. We divide 6 by
(√(3) )/(2) and we get 4
√(3) 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
√(3) by 2 gives us 2
√(3) which is x. If the question wants the exact number, then it is 3.464, otherwise, just put 2
√(3). Hope this helps! (I'm not a bot btw)

User Ebynum
by
3.1k points