try this

$term = get_term_by( \'slug\', get_query_var( \'term\' ), get_query_var( \'taxonomy\' ) ); // current term
$parent_slug = \'\'; // default slug param

if( $term->parent ){   // if current term has parent then get it\'s slug
   $parent = get_term( $term->parent, get_query_var(\'taxonomy\') ); // term\'s parent
   $parent_slug = $parent->slug; // slug of parent term
}

// check current term has product_cat taxonomy
$is_product_category = \'\' === $parent_slug ? 0: is_product_category($term->slug);

if ( is_product_category(\'furnitures\') || ( $is_product_category  && \'furnitures\' === $parent_slug) ) : ?>
<p>This is the text to describe category A</p>
<?php elseif (is_product_category(\'kitchen\') || ( $is_product_category && \'kitchen\' === $parent_slug) ) : ?>
<p>This is the text to describe category B</p>
<?php else : ?>
<p>This is some generic text to describe all other category pages, 
I could be left blank</p>
<?php endif; ?>