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; ?>