Answer:
DB = 20 cm
Step-by-step explanation:
Given:
║AB = 12 cm (represented by 'a' leg)
║AD = 16 cm (represented by 'b' leg)
║DB = x cm (hypotenuse represented by 'c' leg)
These formulas are used to solve for a missing side length:
║a = [tex]\sqrt{(c^2 - b^2)}[/tex]
║b = [tex]\sqrt{(c^2 - a^2)}[/tex]
║c = [tex]\sqrt{(a^2 + b^2)}[/tex]
Because we are solving for side length c, we will be using the third formula.
║c = [tex]\sqrt{(a^2 + b^2)}[/tex]
║c = [tex]\sqrt{(12^2 + 16^2)}[/tex]
║c = [tex]\sqrt{(144 + 256)}[/tex]
║c = [tex]\sqrt{400}[/tex]
║c = 20
Therefore, the value for side length DB should be:
║DB = 20 cm
