Respuesta :

9514 1404 393

Answer:

  c = √73

Step-by-step explanation:

The Pythagorean theorem tells you that ...

  c² = a² + b²

The sides you choose to call 'a' and 'b' don't matter. We can let 'a' be the left side and 'b' be the top side. Then we have ...

  c² = 3² +8² = 9 + 64 = 73

Taking the square root gives ...

  c = √73

Answer:

c = [tex]\sqrt{73}[/tex]

Step-by-step explanation:

c is the hypotenuse ( side opposite to the right angle )

So,

[tex]c^{2}[/tex] = [tex]8^{2}[/tex] + [tex]3^{2}[/tex]        (Pythagoras theorem)

c = [tex]\sqrt{64 + 9}[/tex]

c = [tex]\sqrt{73}[/tex]