Respuesta :

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 = 5

b = 8

c = x

^^^Plug these numbers into the theorem

[tex]5^{2} +8^{2} =x^{2}[/tex]

simplify

25 + 64 = [tex]x^{2}[/tex]

89 = [tex]x^{2}[/tex]

To remove the square from x take the square root of both sides to get you...

√89 = x  

(choice A)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The correct answer is first option  √89

Step-by-step explanation:

Points to remember

Pythagorean theorem

For a right triangle,

Base² + Height² = Hypotenuse²

To find the vale of x

From the figure we can see a right triangle,

Base = 8 units and height = 5 units

Hypotenuse² = Base² + Height²

x² = 8² + 5²

 = 64 + 25

 = 89

x = √89

The correct answer is first option  √89