Respuesta :
Answer: C. 10 cm
Step-by-step explanation:
the hypotenuse of a right triangle will always be longer than the other 2 sides. So 10 cm
To solve this you must use Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 8 cm
b = 6 cm
c = x
^^^Plug these numbers into the theorem
[tex]8^{2} +6^{2} =x^{2}[/tex]
simplify
64 + 36 = [tex]x^{2}[/tex]
100 = [tex]x^{2}[/tex]
To remove the square from x take the square root of both sides to get you...
√100 = x
Which is when simplified:
(choice C)
10 cm
Hope this helped!
~Just a girl in love with Shawn Mendes