Respuesta :

Answer:

a^2+12^2=16^2

then just solve for a

Answer:

x=10.58

Step-by-step explanation:

To find the side length of a right triangle, you can use the Pythagorean theorem.

The Pythagorean theorem is [tex]a^2+b^2=c^2[/tex]

the c is the hypotenuse of the triangle, so 16.

the a and b are the other sides of the triangle, so x and 12.

Therefore, [tex]x^2+12^2=16^2[/tex]

       now you can solve the equation.

[tex]x^2+144=256[/tex]

      -144    -144

[tex]x^2=112[/tex]

now you have to square root both sides of the equation.

[tex]\sqrt{x^2} =\sqrt{112}[/tex]

x=10.58