c^2=a^2+b^2
c^2 = 12^2 + 5^2
C^2 = 144 +25
C^2 = 169
c=13
DF = 13
Answer:
Option D is correct.
side DF = 13 units
Step-by-step explanation:
Using Pythagoras theorem:
[tex]\text{Hypotenuse side}^2=\text{Opposite side}^2+\text{Adjacent side}^2[/tex] ....[1]
In a right angle triangle DEF:
FE = 12 units and DE = 5 units.
Using Pythagoras theorem on DEF we have;
Hypotenuse side = DF
Opposite side = DE and Adjacent side = FE
Substitute these in [1] we have;
[tex]DF^2 = 5^2+12^2 = 25 +144 = 169[/tex]
⇒[tex]DF = \sqrt{169} = 13[/tex] units.
Therefore, the side DF = 13 units
