Answer:
x = 11.66
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve for the hypotenuse.
Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex]
- a = leg
- b = leg
- c = hypotenuse
Plug the values of 6 and 10 into the formula to solve.
Find the Hypotenuse
- [tex]a^2 + b^2 = c^2[/tex]
- [tex]6^2 + 10^2 = c^2[/tex]
- [tex]36 +100 = c^2[/tex]
- [tex]136 = c^2[/tex]
- [tex]c = \sqrt{136[/tex]
- [tex]c \approx 11.66[/tex]
The hypotenuse is approximately 11.66.
