Respuesta :

Answer:

(see attachment for everything) 2 multiplied by the square root of 41

Step-by-step solution:

Solution is attached

Ver imagen 24makalonu047

Answer:

[tex]\Large \boxed{\sf 2\sqrt{41} }[/tex]

Step-by-step explanation:

Use Pythagorean theorem formula

[tex]a^2+b^2=c^2[/tex]

a and b are legs and c is hypotenuse of the right triangle.

Solve for c

[tex]\displaystyle c=\sqrt{a^2+b^2}[/tex]

Substitute a = 8 and b = 10

[tex]\displaystyle c=\sqrt{8^2+10^2}[/tex]

[tex]\displaystyle c=2\sqrt{41}[/tex]