Answer:
[tex]\boxed{\sf BD}\longrightarrow \boxed{7}[/tex]
[tex]\boxed{\sf BC}\longrightarrow \boxed{7\sqrt{2}}[/tex]
Step-by-step explanation:
Right triangle BCD is a special 45-45-90 triangle.
The measure of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2.
This means that the length of each leg is equal, and the length of the hypotenuse is equal to the length of a leg multiplied by √2.
In right triangle BCD, the length of one leg (CD) is 7 units. Therefore, the other leg (BD) also measures 7 units, and the length of the hypotenuse (BC) is 7√2 units.
[tex]\Large\text{$\boxed{\sf BD}\longrightarrow \boxed{7}$}[/tex]
[tex]\Large\text{$\boxed{\sf BC}\longrightarrow \boxed{7\sqrt{2}}$}[/tex]
