Answer:
A (A right triangle with a side length of 5 and hypotenuse with length [tex]\sqrt{74}[/tex])
Step-by-step explanation:
In a right triangle, the length of the sides satisfies the Pythagoras Theorem which is stated Mathematically below:
[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Option A
Length = 5
Hypotenuse =[tex]\sqrt{74}[/tex]
[tex](\sqrt{74})^2=5^2+Adjacent^2\\Adjacent^2=\sqrt{74}^2-5^2=74-25=49\\Adjacent=\sqrt{49}=7 \: Units[/tex]
All other options do not satisfy the Pythagoras Theorem.
