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.