Question

Can someone help? Will mark Brainliest

Answer 1

Answer: The answer is the 3rd one

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

  (d)  AE = (32√6)/3

Step-by-step explanation:

The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.

So, we have the side length ratios ...

  CE : CD = 2 : √3

  BE : CE = √2 : 1

  AE : BE = 2 : √3

Then the ratio AE : CE is ...

  $\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}$

Multiplying by the length of CD, we have ...

  AE = (8√3)(4√2)/3

  AE = (32√6)/3 . . . . . matches the last choice