Respuesta :

Answer:

Step-by-step explanation:

When you are looking for missing sides in a right triangle, you only need Pythagorean's Theorem.  In #1, we are looking for the hypotenuse length but we have the other 2 sides.  Plugging in:

[tex]x^2=10.6^2+4.4^2[/tex]  and

[tex]x^2=112.36+19.36[/tex]  and

[tex]x^2=131.72[/tex]  so

x = 11.5 km

For #2, we have the length of the hypotenuse and 1 side and need the other side:

[tex]12.8^2=12^2+b^2[/tex]  and

[tex]163.84=144+b^2[/tex]  and

[tex]19.84=b^2[/tex]  so

b = 4.5