Respuesta :

The hypotenuse is 8.06.

Solution:

Given data:

4² + 7² = c²

Here c is the hypotenuse.

To find the hypotenuse:

We know that 4² = 4 × 4 = 16 and 7² = 7 × 7 = 49

4² + 7² = c²

16 + 49 = c²

65 = c²

Taking square root on both sides of the equation.

[tex]\sqrt{65}=\sqrt{c^2}[/tex]

8.06 = c

Switch the sides.

c = 8.06

The hypotenuse is 8.06.