The picture below shows a triangular coffee table ABC.

Aright triangle ABC is shown with BC equal to 96 centimeters. A dashed line joins A to a point D on BC. The measure of angle ADB is 45 degrees and the measure of angle ACB is 30 degrees.

A carpenter plans to make two small triangular tables by cutting the big table along the line AD. What will be the length of the side BD of the table ABD?

48 cm

55.43 cm

67.89 cm

24 cm

Question

The picture below shows a triangular coffee table ABC. 
  
Aright triangle ABC is shown with BC equal to 96 centimeters. A dashed line joins A to a point D on BC. The measure of angle ADB is 45 degrees and the measure of angle ACB is 30 degrees. 

A carpenter plans to make two small triangular tables by cutting the big table along the line AD. What will be the length of the side BD of the table ABD?

 48 cm

 55.43 cm

 67.89 cm

 24 cm