ACT Math Help

<p>How do you solve this problem: <a href="http://s21.postimg.org/82bg0d8qv/photo.jpg%5B/url%5D"&gt;http://s21.postimg.org/82bg0d8qv/photo.jpg&lt;/a>
The answer is C.</p>

<p>There are two triangles. DBC is a 45-45-90 triangle meaning CD=BC. While ACD is 30-60-90 triangle, meaning AC=CD multiply by underoot 2. So AB + BC = CD* underoot 2. Eliminate with the help of the answer choices. And it’s good to start with C if they are in order( which is the case). If the equation above is satisfied then you have your answer :)</p>

<p>Or you could use law of Sines to solve for the side opposite to the 30 degree angle, and then use it again to find the side you’re actually looking for.</p>

<p>Thank relativelysmart. Your answer helped alot!</p>