#### Answer

yes

#### Work Step by Step

The sides of a right triangle will satisfy the equation $a^2+b^2=c^2$.
a and b are the lengths of the legs.
c is the length of the hypotenuse and is the longest side.
$1^2+(\frac{4}{3})^2\overset?=(\frac{5}{3})^2$
$1+\frac{16}{9}\overset?=\frac{25}{9}$
$\frac{9}{9}+\frac{16}{9}\overset?=\frac{25}{9}$
$\frac{25}{9}=\frac{25}{9}\checkmark$