Answer:
[tex]AB \approx 70.7[/tex]
Step-by-step explanation:
This is a right triangle.
We have sides:
[tex]BC=52[/tex]
[tex]AC=48[/tex]
In order to find the other side, you can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
as 'c' equal to the hypotenuse and, 'a' and 'b' are legs or cathetus.
For this triangle,
[tex]AC^2+BC^2=AB^2[/tex]
[tex]48^2+52^2=AB^2[/tex]
[tex]2304+2704=AB^2[/tex]
[tex]AB=\sqrt{5008}=4\sqrt{313}[/tex]
[tex]AB \approx 70.7[/tex]
