Respuesta :

Answer:

12.4

Step-by-step explanation:

We need to use Pythagoras Theorem.

It says the sum of the legs squared is equal to the square of the Hypotenuse

[tex] {h}^{2} = {3}^{2} + {12}^{2} [/tex]

Simplify the exponents

[tex] {h}^{2} = 9 + 144[/tex]

Add on the right

[tex] {h}^{2} = 153[/tex]

Take square root

[tex]h = \sqrt{153} [/tex]

[tex]h = 12.4[/tex]