What is the length of x in the diagram below? topic test!!
Accepted Solution
A:
see the attached figure with letters to better understand the problemStep 1Find the length of BDwe know thatIn the right triangle ABDBD=AD ------> because is a [tex]45\°-90\°-45\°[/tex] triangleso[tex]BD=5\ units[/tex]Step 2Find the length of BCIn the right triangle BCD[tex]sin(30\°)=\frac{BD}{BC}[/tex]we have[tex]sin(30\°)=\frac{1}{2}[/tex][tex]BD=5\ units[/tex][tex]BC=x\ units[/tex]substitute the values and solve for x[tex]\frac{1}{2}=\frac{5}{x}\\ \\x=5*2 \\ \\x=10\ units[/tex]thereforethe answer isThe length of x is [tex]10\ units[/tex]