Question

In the right triangle shown, A = 30° and AC = 6.

Answer 1

Answer:

AB = 6√3

Step-by-step explanation:

The triangle is a 30°, 60°, 90° triangle, and therefore side AC is equivalent to x√3, where x = length of the smallest side.

To find AB, we must first find x by dividing 6 by √3.

$\frac{6}{\sqrt{3}} = \frac{6\sqrt{3}}{3}=3\sqrt{3}$

Therefore, x, in this case side BC, is equivalent to 3√3

Side AB, hour hypotenuse, is equal to 2x:

$2(3\sqrt{3})=6\sqrt{3}$

AB = $6\sqrt{3}$