Respuesta :

Answer:

√41 or 6.40

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

The third side is considered the hypotenuse (c²).

a² and b² will be represented by the legs.

a² = 4²

b² = 5²

c² = c²

4² + 5² = c²

16 + 25 = c²

31 = c²

√41 = c

Tucon

 

[tex]\displaystyle\bf\\\textbf{A third side is hypotenuse.}\\\\The~length~of~the~hypotenuse=\sqrt{cat1^2+cat2^2}~~~(T.Pithagoras)\\\\The~length~of~the~hypotenuse=\sqrt{4^2+5^2}=\sqrt{16+25}=\boxed{\bf\sqrt{41}}[/tex]