Answer:
[tex]\large\boxed{\large\boxed{8.06units}}[/tex]
Explanation:
The figure is a right triangle with:
- hypotenuse = segment AC
- vertical leg = 7 units
- horizontal leg = 4 units
Hence, you must use Pythagora's theorem, which is valid for all right triangles:
[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]
Substituting the data:
[tex]hypotenuse^2=(7unit)^2+(4unit)^2=49unit^2+16unit^2=65unit^2[/tex]
Square root both sides:
[tex]hypotenuse=\sqrt{65unit^2}=8.06unit[/tex]
