Respuesta :

Answer:

AB = 9.4

Explanation:

The Pythagoras theorem says that if we have a triangle of side lengths a, b and hypotenuse c is given by

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

Now in our case, a = 6 and b = 7.2; therefore,

[tex]6^2+7.2^2=c^2[/tex][tex]\rightarrow87.84=c^2[/tex]

Taking the square root of both sides gives

[tex]c=\sqrt[]{87.84}[/tex][tex]c=9.372[/tex]

rounding to the nearest tenth gives

[tex]\boxed{c=9.4.}[/tex]

which is our answer!