Respuesta :

Answer:

x=3.4

Step-by-step explanation:

Use the Pythagorean theorem:

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

a and b are the legs and c is the hypotenuse (x)*

Insert the values:

[tex]3^2+1.6^2=x^2[/tex]

Simplify exponents

[tex]9+2.56=x^2[/tex]

Simplify addition:

[tex]11.56=x^2[/tex]

Find the square root:

[tex]\sqrt{11.56}=\sqrt{x^2}[/tex]

[tex]3.4=x\\x=3.4[/tex]

Finito.

*The hypotenuse is the side opposite the 90° angle and the longest side of a triangle, always.