#1**+3 **

△BCD is a special right triangle called a " 30-60-90 triangle " because its angles are 30°, 60°, and 90°.

In every 30-60-90 triangle, if the side opposite the 30° angle is *n* , then

the side opposite the 60° angle is *n*√3 and the side opposite the 90° angle is 2*n*

In △BCD, the side opposite the 30° is 12 , so

the side opposite the 60° angle is 12√3 and the side opposite the 90° angle is 2(12) .

So.....

BC = 12√3

BD = 2(12) = 24

height of the triangle = 12√3 cm

area of triangle = ( 1/2 )( base )( height )

area of triangle = ( 1/2 )( 12 )( 12√3 ) cm^{2} I'll let you simplify this.

hectictar May 31, 2019