diff --git a/Weights/include/CGAL/Weights/tangent_weights.h b/Weights/include/CGAL/Weights/tangent_weights.h
index 03c8e91ad5b..da4c87d0fdd 100644
--- a/Weights/include/CGAL/Weights/tangent_weights.h
+++ b/Weights/include/CGAL/Weights/tangent_weights.h
@@ -461,7 +461,7 @@ namespace Weights {
       const auto v1 = construct_vector_2(q, r);
       const auto v2 = construct_vector_2(q, p);
 
-      const auto A = internal::area_2(traits, p, q, r);
+      const auto A = internal::positive_area_2(traits, p, q, r);
       CGAL_assertion(A != FT(0)); // three points are identical!
       const auto S = scalar_product_2(v1, v2);
       m_w_base = -tangent_half_angle(m_d_r, m_d_p, A, S);