Respuesta :

Answer:

C

Step-by-step explanation:

Since the triangle is right with hypotenuse h

Use Pythagoras' identity to solve for h

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

h² = ( 5[tex]\sqrt{2}[/tex] )² + ( 5[tex]\sqrt{2}[/tex] )²

   = 50 + 5 0 = 100

Take the square root of both sides

h = [tex]\sqrt{100}[/tex] = 10 → C