Respuesta :

Answer:

20

Step-by-step explanation:

The Pythagorean Theorem says if you have a right triangle with legs [tex]a \text{ and } b \text{ ,and hypotenuse,} c \text{,}[/tex] then:

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

You are given leg measurements 12 and 16.

You are given the hypotenuse measurement but are asked to find it.

[tex]12^2+16^2=c^2[/tex]

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

[tex]400=c^2[/tex]

Take square root of both sides:

[tex]20=c[/tex]

Answer:

the Pythagorean theorem states that the square of two sides of a right triangle other than the hypotenuse is equal to the square of the hypotenuse

Step-by-step explanation:

therefore, by using the above Pythagorean theorem,

12² + 16² = x²

=> 144 + 256 = x²

=> 400 = x²

=> √400 = x

=> 20.