Question

WILL MARK THE BRAINLIEST What is the length of the wood that is needed to replace AD?

Answer 1

Answer:

5.1

Step-by-step explanation:

Answer 2

Answer:

5.9 inches

Step-by-step explanation:

Triangle BCD is a special 30-60-90 triangle, so it has special properties. If we call side BD "x," then side BC will be x$\sqrt{3}$

$14 = x\sqrt{3} \\x = \frac{14}{\sqrt{3} }$

Now, we know that side BD is equal to $\frac{14}{\sqrt{3} }$

We can also see that triangle ABC is an isoceles triangle, since one angle is 45 degrees, and the other is 90, leaving the last angle to also be 45 degrees.

This means that side AB = side BC --> side AB = 14

All we need to do is subtract $\frac{14}{\sqrt{3} }$ from 14, and we are left with something around 5.9 inches